Finite Group Databasebeta

← #33970831

Subgroups — #33970831

Order 18688.

2578 conjugacy classes of subgroups.

The subgroup lattice has 2038 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623767C211yesmaximal, characteristic, complemented
2D42×D73C211yesmaximal, characteristic, complemented
3#22622078C211yesmaximal, characteristic, complemented
4#22622076C211yesmaximal, characteristic, complemented
5#22622074C211yesmaximal, characteristic, complemented
6#22622072C211yesmaximal, characteristic, complemented
7#22621959C211yesmaximal, characteristic, complemented
8#22621957C211yesmaximal, characteristic, complemented
9#22621947C211yesmaximal, characteristic, complemented
10#22621945C211yesmaximal, characteristic, complemented
11#22621427C211yesmaximal, characteristic, complemented
12#22621426C211yesmaximal, characteristic, complemented
13#22621419C211yesmaximal, characteristic, complemented
14#22621417C211yesmaximal, characteristic, complemented
15#22621414C211yesmaximal, characteristic, complemented
16#22621410C211yesmaximal, characteristic, complemented
17#22621405C211yesmaximal, characteristic, complemented
18#22620953C211yesmaximal, characteristic, complemented
19#22620945C211yesmaximal, characteristic, complemented
20#22620746C211yesmaximal, characteristic, complemented
21#22620743C211yesmaximal, characteristic, complemented
22#22620686C211yesmaximal, characteristic, complemented
23#22620678C211yesmaximal, characteristic, complemented
24#22620073C211yesmaximal, characteristic, complemented
25#22620068C211yesmaximal, characteristic, complemented
26#22619159C211yesmaximal, characteristic, complemented
27#22619156C211yesmaximal, characteristic, complemented
28C2×#17988736C211yesmaximal, characteristic, complemented
29#447×D73C211yesmaximal, characteristic, complemented
30#22618956C211yesmaximal, characteristic, complemented
31C73×#3265C211yesmaximal, characteristic, complemented
32C22×D4×D73—21no—
33C22×D4×D73C2211yescharacteristic
34C22×D4×D73C2211yescharacteristic, complemented
35C2×#14556618C2211yescharacteristic, complemented
36C2×#14556618C2211yescharacteristic, complemented
37C2×#14556616C2211yescharacteristic, complemented
38C22×#11924015C2211yescharacteristic, complemented
39C2×D8×D73C2211yescharacteristic, complemented
40C2×D8×D73C2211yescharacteristic, complemented
41#17989289C2211yescharacteristic, complemented
42#17989286—21no—
43#17989283C2211yescharacteristic, complemented
44#17989280—21no—
45#17989278C2211yescharacteristic, complemented
46#17989271C2211yescharacteristic, complemented
47#17989267—21no—
48#17989264—21no—
49#17989248C2211yescharacteristic, complemented
50#17989230C2211yescharacteristic, complemented
51#17989225C2211yescharacteristic, complemented
52D4×D292C2211yescharacteristic
53D4×D292C2211yescharacteristic, complemented
54#17989222C2211yescharacteristic
55#17989221—21no—
56#17989221C2211yescharacteristic
57#17989221C2211yescharacteristic, complemented
58D4×C22⋊D73—21no—
59D4×C22⋊D73C2211yescharacteristic
60D4×C22⋊D73C2211yescharacteristic, complemented
61#17989219—21no—
62#17989219—21no—
63#17989183—21no—
64#17989171—21no—
65#17989145—21no—
66#127×D73C2211yescharacteristic, complemented
67#17989124C2211yescharacteristic, complemented
68#17989116C2211yescharacteristic, complemented
69#17989100C2211yescharacteristic, complemented
70#17989094C2211yescharacteristic, complemented
71C2×#14556567C2211yescharacteristic, complemented
72#121×D73—21no—
73#121×D73C2211yescharacteristic
74#121×D73C2211yescharacteristic, complemented
75#121×D73C2211yescharacteristic, complemented
76#120×D73—21no—
77#120×D73—21no—
78#17989059—21no—
79C4×D4×D73C2211yescharacteristic
80C4×D4×D73C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988973C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988951C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988916C2211yescharacteristic, complemented
89#17988916C2211yescharacteristic, complemented
90#17988914C2211yescharacteristic, complemented
91#17988912C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988908C2211yescharacteristic, complemented
94#17988906C2211yescharacteristic, complemented
95#17988903C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988840C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic, complemented
107#17988837C2211yescharacteristic, complemented
108#17988836C2211yescharacteristic, complemented
109#17988835C2211yescharacteristic, complemented
110#17988830C2211yescharacteristic, complemented
111#17988823C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988819C2211yescharacteristic, complemented
115#17988819C2211yescharacteristic, complemented
116#17988813C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic, complemented
119#17988804C2211yescharacteristic, complemented
120#17988799C2211yescharacteristic, complemented
121#17988787C2211yescharacteristic, complemented
122#17988785C2211yescharacteristic, complemented
123#17988785C2211yescharacteristic, complemented
124#17988783C2211yescharacteristic, complemented
125#17988780C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988779C2211yescharacteristic, complemented
128#17988737C2211yescharacteristic, complemented
129#17988736C2211yescharacteristic, complemented
130#17988736C2211yescharacteristic, complemented
131#17988736C2211yescharacteristic, complemented
132#17988736C2211yescharacteristic, complemented
133#17988736C2211yescharacteristic, complemented
134#17988736C2211yescharacteristic, complemented
135#17988736C2211yescharacteristic, complemented
136#17988736C2211yescharacteristic, complemented
137#17988736C2211yescharacteristic, complemented
138#17988736C2211yescharacteristic, complemented
139#17988736C2211yescharacteristic, complemented
140#17988736C2211yescharacteristic, complemented
141#17988735C2211yescharacteristic, complemented
142#17988732C2211yescharacteristic, complemented
143#17988731C2211yescharacteristic, complemented
144#17988726C2211yescharacteristic, complemented
145#17988723C2211yescharacteristic, complemented
146#17988723C2211yescharacteristic, complemented
147#17988722C2211yescharacteristic
148#17988722C2211yescharacteristic, complemented
149#17988722C2211yescharacteristic, complemented
150#17988722C2211yescharacteristic, complemented
151#17988721C2211yescharacteristic, complemented
152#17988721C2211yescharacteristic, complemented
153#17988720C2211yescharacteristic, complemented
154#17988719C2211yescharacteristic
155#17988719C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988700C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic, complemented
163#17988696C2211yescharacteristic, complemented
164#17988690C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167#17988661C2211yescharacteristic, complemented
168#17988660C2211yescharacteristic, complemented
169#17988659C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174#17988643C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988593C2211yescharacteristic, complemented
177#17988592C2211yescharacteristic, complemented
178#17988590C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180C2×#14556513C2211yescharacteristic, complemented
181C2×#14556512C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988550C2211yescharacteristic, complemented
185#17988549C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic, complemented
192#496×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#448×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204C24×D73—21no—
205C2×#11924029C2311yescharacteristic, complemented
206C22×D292—21no—
207C22×D292C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C22×C22⋊D73—21no—
210C22×C22⋊D73—21no—
211C22×C22⋊D73—21no—
212C22×C22⋊D73—21no—
213C2×D4×D73—21no—
214C2×D4×D73—21no—
215C2×D4×D73—21no—
216C2×D4×D73—21no—
217C2×D4×D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—42no—
227C2×D4×D73—42no—
228C2×D4×D73—42no—
229C2×D4×D73—42no—
230C2×D4×D73—48no—
231C2×D4×D73D411yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C2×D4×D73C2311yescharacteristic
235C2×D4×D73C2311yescharacteristic
236C2×D4×D73C2311yescharacteristic
237C2×D4×D73C2311yescharacteristic
238C2×D4×D73C2311yescharacteristic
239C2×D4×D73C2311yescharacteristic, complemented
240C22×C4×D73—21no—
241C22×C4×D73C2311yescharacteristic
242C22×C4×D73C2311yescharacteristic
243#14556618—42no—
244#14556618—42no—
245#14556616—42no—
246C2×#11924015—42no—
247C2×#11924015C2311yescharacteristic
248C2×#11924015C2311yescharacteristic
249C2×#11924015C2311yescharacteristic, complemented
250C2×#11924015C2311yescharacteristic, complemented
251C2×#11924015C2311yescharacteristic, complemented
252C2×#11924015C2311yescharacteristic, complemented
253C2×D584C2311yescharacteristic
254C2×D584C2311yescharacteristic, complemented
255C2×D584C2311yescharacteristic, complemented
256C2×#11924013C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic, complemented
259C2×#11924013C2311yescharacteristic, complemented
260C2×#11924013C2311yescharacteristic, complemented
261C2×#11924013C2311yescharacteristic, complemented
262D8×D73—42no—
263D8×D73—42no—
264C2×#11924012C2311yescharacteristic, complemented
265C2×#11924011C2311yescharacteristic, complemented
266C2×#11924011C2311yescharacteristic, complemented
267C22×#10596831C2311yescharacteristic, complemented
268C2×C8×D73C2311yescharacteristic, complemented
269C2×C8×D73C2311yescharacteristic, complemented
270#14556588C2311yescharacteristic
271#14556587—21no—
272#14556587—21no—
273#14556587C2311yescharacteristic
274#14556587C2311yescharacteristic
275#14556586—21no—
276#14556586—21no—
277#14556585—21no—
278#14556584—21no—
279#14556584—21no—
280#14556584—21no—
281#14556583C2311yescharacteristic, complemented
282#14556582C2311yescharacteristic, complemented
283#14556581—21no—
284#14556581—21no—
285#14556580—21no—
286#14556580C2311yescharacteristic, complemented
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556575—21no—
291#14556574—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556572—21no—
297#14556567—21no—
298#14556567—21no—
299#14556567—21no—
300#14556567C2311yescharacteristic
301#14556567C2311yescharacteristic
302#14556567C2311yescharacteristic, complemented
303#14556567C2311yescharacteristic, complemented
304#14556567C2311yescharacteristic, complemented
305#14556566—21no—
306#14556566C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556565—21no—
310#14556565—21no—
311#14556565C2311yescharacteristic
312#14556565C2311yescharacteristic
313#14556565C2311yescharacteristic, complemented
314#14556565C2311yescharacteristic, complemented
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556562—21no—
330#14556562C2311yescharacteristic
331#14556562C2311yescharacteristic
332#14556562C2311yescharacteristic
333#14556562C2311yescharacteristic, complemented
334#14556561—21no—
335#14556561—21no—
336#14556561—21no—
337#14556561—21no—
338#14556561—21no—
339#14556561—21no—
340#14556561—21no—
341#14556561—21no—
342#14556560—21no—
343#14556560—21no—
344#14556559—21no—
345#14556559—21no—
346#14556559—21no—
347#14556559—21no—
348#14556559—21no—
349#14556559—21no—
350#14556559—21no—
351#14556559—21no—
352Q8×Dic73C2311yescharacteristic, complemented
353C4×D292—21no—
354C4×D292C2311yescharacteristic
355C4×D292C2311yescharacteristic
356C4×D292C2311yescharacteristic, complemented
357D4×Dic73—21no—
358D4×Dic73D411yescharacteristic
359D4×Dic73C2311yescharacteristic
360D4×Dic73C2311yescharacteristic, complemented
361#14556553—21no—
362#14556553D411yescharacteristic
363#14556553C2311yescharacteristic
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73C2311yescharacteristic
369C4×C22⋊D73C2311yescharacteristic
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556551D411yescharacteristic
375#14556551D411yescharacteristic
376#14556550C2311yescharacteristic, complemented
377#14556549—21no—
378#14556549C2311yescharacteristic, complemented
379#14556548—21no—
380#14556548—21no—
381#14556547—21no—
382C2×C4⋊Dic73C2311yescharacteristic, complemented
383C2×#11924007—21no—
384C4⋊C4×D73D411yescharacteristic
385C4⋊C4×D73C2311yescharacteristic
386C4⋊C4×D73C2311yescharacteristic, complemented
387C2×#11924005—21no—
388C2×#11924005—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73D411yescharacteristic
395C22⋊C4×D73D411yescharacteristic
396C42×D73C2311yescharacteristic
397#14556525C2311yescharacteristic, complemented
398#14556524C2311yescharacteristic, complemented
399#14556524C2311yescharacteristic, complemented
400#14556523C2311yescharacteristic, complemented
401#14556523C2311yescharacteristic, complemented
402#14556522C2311yescharacteristic, complemented
403#14556522C2311yescharacteristic, complemented
404C4⋊#10596831C2311yescharacteristic, complemented
405#14556520C2311yescharacteristic, complemented
406#14556520C2311yescharacteristic, complemented
407#14556515C2311yescharacteristic, complemented
408#14556515C2311yescharacteristic, complemented
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic, complemented
413#14556513C2311yescharacteristic, complemented
414#14556513C2311yescharacteristic, complemented
415#14556513C2311yescharacteristic, complemented
416#14556513C2311yescharacteristic, complemented
417#14556513C2311yescharacteristic, complemented
418#14556513C2311yescharacteristic, complemented
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic, complemented
423#14556512C2311yescharacteristic, complemented
424#14556512C2311yescharacteristic, complemented
425#14556512C2311yescharacteristic, complemented
426#14556512C2311yescharacteristic, complemented
427#14556512C2311yescharacteristic, complemented
428#14556512C2311yescharacteristic, complemented
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic, complemented
431#14556511C2311yescharacteristic, complemented
432#14556511C2311yescharacteristic, complemented
433C22⋊#10596831C2311yescharacteristic, complemented
434C22⋊#10596831C2311yescharacteristic, complemented
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic, complemented
440#14556503C2311yescharacteristic, complemented
441#14556503C2311yescharacteristic, complemented
442#14556503C2311yescharacteristic, complemented
443#14556502C2311yescharacteristic, complemented
444#14556501C2311yescharacteristic, complemented
445#14556501C2311yescharacteristic, complemented
446C2×#41×C73C2311yescharacteristic, complemented
447C22×Q8×C73C2311yescharacteristic, complemented
448C22×D4×C73—21no—
449C22×D4×C73C2311yescharacteristic
450C22×D4×C73C2311yescharacteristic
451AGL(1,ℤ/8)×C73—42no—
452C2×SD16×C73—42no—
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic, complemented
456C2×SD16×C73C2311yescharacteristic, complemented
457C2×SD16×C73C2311yescharacteristic, complemented
458C2×SD16×C73C2311yescharacteristic, complemented
459C2×D8×C73C2311yescharacteristic
460C2×D8×C73C2311yescharacteristic, complemented
461C2×D8×C73C2311yescharacteristic, complemented
462C2×M16×C73C2311yescharacteristic, complemented
463C22×C8×C73C2311yescharacteristic, complemented
464#127×C73C2311yescharacteristic
465#124×C73—21no—
466#124×C73C2311yescharacteristic, complemented
467C22⋊Q8×C73—21no—
468C22⋊Q8×C73C2311yescharacteristic, complemented
469#121×C73—21no—
470#121×C73—21no—
471#121×C73C2311yescharacteristic
472#121×C73C2311yescharacteristic
473#121×C73C2311yescharacteristic, complemented
474#120×C73—21no—
475#120×C73—21no—
476C4×Q8×C73C2311yescharacteristic, complemented
477C4×D4×C73—21no—
478C4×D4×C73C2311yescharacteristic
479C4×D4×C73C2311yescharacteristic
480#107×C73C2311yescharacteristic, complemented
481C4⋊C8×C73C2311yescharacteristic, complemented
482#103×C73C2311yescharacteristic, complemented
483#103×C73C2311yescharacteristic, complemented
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic, complemented
486#102×C73C2311yescharacteristic, complemented
487#102×C73C2311yescharacteristic, complemented
488C22⋊C8×C73C2311yescharacteristic, complemented
489C22⋊C8×C73C2311yescharacteristic, complemented
490#97×C73C2311yescharacteristic, complemented
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73—21no—
496C23×D73—21no—
497C23×D73—21no—
498C23×D73—21no—
499C23×D73—21no—
500C23×D73—21no—
501C23×D73—44no—
502C23×D73—44no—
503C23×D73—44no—
504C23×D73—44no—
505C23×D73—82no—
506C23×D73—82no—
507C23×D73C2×D411yescharacteristic
508C23×D73C2×D411yescharacteristic
509#11924029—41no—
510#11924029—41no—
511C2×D292—22no—
512C2×D292—22no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—41no—
522C2×D292—41no—
523C2×D292—44no—
524C2×D292C2×D411yescharacteristic
525C2×D292C2411yescharacteristic
526C2×D292C2411yescharacteristic
527C2×D292C2411yescharacteristic
528C2×D292C2411yescharacteristic
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—44no—
550C2×C22⋊D73—44no—
551C2×C22⋊D73—44no—
552C2×C22⋊D73—44no—
553C2×C22⋊D73C2×D411yescharacteristic
554C2×C22⋊D73C2×D411yescharacteristic
555D4×D73—24no—
556D4×D73—22no—
557D4×D73—22no—
558D4×D73—22no—
559D4×D73—22no—
560D4×D73—22no—
561D4×D73—22no—
562D4×D73—41no—
563D4×D73—41no—
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—41no—
567D4×D73—41no—
568D4×D73—41no—
569D4×D73—41no—
570D4×D73—41no—
571D4×D73—41no—
572D4×D73—44no—
573D4×D73—44no—
574D4×D73—44no—
575D4×D73—44no—
576D4×D73—44no—
577D4×D73—44no—
578D4×D73—44no—
579D4×D73—44no—
580D4×D73—44no—
581D4×D73—44no—
582D4×D73—44no—
583D4×D73—44no—
584D4×D73—82no—
585C22×Dic73—21no—
586C22×Dic73—21no—
587C22×Dic73—21no—
588C22×Dic73C2×D411yescharacteristic
589C22×Dic73C2×D411yescharacteristic
590C2×C4×D73—21no—
591C2×C4×D73—21no—
592C2×C4×D73—21no—
593C2×C4×D73—21no—
594C2×C4×D73—21no—
595C2×C4×D73—21no—
596C2×C4×D73—41no—
597C2×C4×D73—41no—
598C2×C4×D73—41no—
599C2×C4×D73—41no—
600C2×C4×D73—44no—
601C2×C4×D73C2×D411yescharacteristic
602C2×C4×D73C2×D411yescharacteristic
603C2×C4×D73C2×D411yescharacteristic
604C2×C4×D73C2×D411yescharacteristic
605C2×C4×D73C2×D411yescharacteristic
606C2×C4×D73C2×D411yescharacteristic
607C2×C4×D73C2411yescharacteristic
608C2×C4×D73C2411yescharacteristic
609C2×C4×D73C2411yescharacteristic
610#11924015—22no—
611#11924015—22no—
612#11924015—41no—
613#11924015—41no—
614#11924015—41no—
615#11924015—41no—
616D584—22no—
617D584—41no—
618D584—41no—
619#11924013—22no—
620#11924013—22no—
621#11924013—41no—
622#11924013—41no—
623#11924013—41no—
624#11924013—41no—
625#11924012—41no—
626#11924011—41no—
627#11924011—41no—
628C2×#10596831—41no—
629C2×#10596831C2411yescharacteristic
630C2×#10596831C2411yescharacteristic
631C2×#10596831C2411yescharacteristic
632C2×#10596831C2411yescharacteristic
633C8×D73—41no—
634C8×D73—41no—
635C4⋊Dic73—21no—
636C4⋊Dic73—21no—
637C4⋊Dic73—21no—
638C4⋊Dic73C2×D411yescharacteristic
639C4⋊Dic73C2411yescharacteristic
640C4⋊Dic73C2411yescharacteristic
641C4⋊Dic73C2411yescharacteristic
642C4⋊Dic73C2411yescharacteristic
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007—21no—
647#11924007—21no—
648#11924007—21no—
649#11924007—21no—
650#11924007—21no—
651#11924007—21no—
652#11924007—21no—
653#11924007C2×D411yescharacteristic
654#11924007C2×D411yescharacteristic
655C22⋊Dic73—21no—
656C22⋊Dic73—21no—
657C22⋊Dic73—21no—
658C22⋊Dic73—21no—
659C22⋊Dic73—21no—
660C22⋊Dic73—21no—
661C22⋊Dic73—21no—
662C22⋊Dic73C2×D411yescharacteristic
663C22⋊Dic73C2×D411yescharacteristic
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005—21no—
678#11924005—21no—
679#11924005—21no—
680#11924005—21no—
681#11924005—21no—
682#11924005C2×D411yescharacteristic
683#11924005C2×D411yescharacteristic
684#11924005C2×D411yescharacteristic
685#11924005C2×D411yescharacteristic
686C4×Dic73—21no—
687C4×Dic73—21no—
688C4×Dic73—21no—
689C4×Dic73C2×D411yescharacteristic
690C4×Dic73C2×D411yescharacteristic
691C4×Dic73C2411yescharacteristic
692C24×C73—21no—
693C24×C73—21no—
694#41×C73—41no—
695#41×C73—41no—
696C2×Q8×C73—21no—
697C2×Q8×C73—41no—
698C2×Q8×C73—41no—
699C2×Q8×C73C2411yescharacteristic
700C2×Q8×C73C2411yescharacteristic
701C2×D4×C73—22no—
702C2×D4×C73—22no—
703C2×D4×C73—21no—
704C2×D4×C73—21no—
705C2×D4×C73—21no—
706C2×D4×C73—21no—
707C2×D4×C73—21no—
708C2×D4×C73—21no—
709C2×D4×C73—21no—
710C2×D4×C73—21no—
711C2×D4×C73—41no—
712C2×D4×C73—41no—
713C2×D4×C73—44no—
714C2×D4×C73C2×D411yescharacteristic
715C2×D4×C73C2411yescharacteristic
716C2×D4×C73C2411yescharacteristic
717C2×D4×C73C2411yescharacteristic
718C2×D4×C73C2411yescharacteristic
719C22×C4×C73—21no—
720C22×C4×C73—21no—
721C22×C4×C73—21no—
722C22×C4×C73C2411yescharacteristic
723C22×C4×C73C2411yescharacteristic
724SD16×C73—22no—
725SD16×C73—22no—
726SD16×C73—41no—
727SD16×C73—41no—
728SD16×C73—41no—
729SD16×C73—41no—
730D8×C73—22no—
731D8×C73—41no—
732D8×C73—41no—
733M16×C73—41no—
734C2×C8×C73—41no—
735C2×C8×C73C2411yescharacteristic
736C2×C8×C73C2411yescharacteristic
737C2×C8×C73C2411yescharacteristic
738C2×C8×C73C2411yescharacteristic
739C4⋊C4×C73—21no—
740C4⋊C4×C73—21no—
741C4⋊C4×C73C2×D411yescharacteristic
742C4⋊C4×C73C2411yescharacteristic
743C4⋊C4×C73C2411yescharacteristic
744C22⋊C4×C73—21no—
745C22⋊C4×C73—21no—
746C22⋊C4×C73—21no—
747C22⋊C4×C73—21no—
748C22⋊C4×C73—21no—
749C22⋊C4×C73—21no—
750C22⋊C4×C73—21no—
751C22⋊C4×C73C2×D411yescharacteristic
752C22⋊C4×C73C2×D411yescharacteristic
753C42×C73—21no—
754C42×C73C2411yescharacteristic
755C23×C73—21no—
756C23×C73—21no—
757C23×C73—21no—
758C23×C73—21no—
759C23×C73—42no—
760C23×C73—42no—
761C23×C73—42no—
762C23×C73—42no—
763C23×C73—81no—
764C23×C73—81no—
765C23×C73C22×D411yescharacteristic
766C23×C73C22×D411yescharacteristic
767C22×D73—24no—
768C22×D73—21no—
769C22×D73—22no—
770C22×D73—21no—
771C22×D73—21no—
772C22×D73—21no—
773C22×D73—41no—
774C22×D73—41no—
775C22×D73—41no—
776C22×D73—41no—
777C22×D73—42no—
778C22×D73—42no—
779C22×D73—42no—
780C22×D73—42no—
781C22×D73—42no—
782C22×D73—42no—
783C22×D73—42no—
784C22×D73—42no—
785C22×D73—42no—
786C22×D73—42no—
787C22×D73—42no—
788C22×D73—42no—
789C22×D73—42no—
790C22×D73—42no—
791C22×D73—42no—
792C22×D73—42no—
793C22×D73—42no—
794C22×D73—42no—
795C22×D73—42no—
796C22×D73—42no—
797C22×D73—42no—
798C22×D73—81no—
799C22×D73—81no—
800C22×D73—81no—
801C22×D73—81no—
802C22×D73—81no—
803C22×D73—81no—
804C22×D73—81no—
805C22×D73—81no—
806C22×D73—816no—
807C22×D73—816no—
808C22×D73AGL(1,ℤ/8)14yescomplemented
809C22×D73C22×D411yescharacteristic
810C22×D73C22×D411yescharacteristic
811C22×D73C22×D411yescharacteristic
812Q8×C73—21no—
813Q8×C73—21no—
814Q8×C73—21no—
815Q8×C73—21no—
816Q8×C73—81no—
817D4×C73—22no—
818D4×C73—21no—
819D4×C73—21no—
820D4×C73—21no—
821D4×C73—21no—
822D4×C73—21no—
823D4×C73—21no—
824D4×C73—21no—
825D4×C73—42no—
826D4×C73—42no—
827D4×C73—42no—
828D4×C73—42no—
829D4×C73—42no—
830D4×C73—42no—
831D4×C73—81no—
832D4×C73—81no—
833D4×C73H(5,𝔽2)12yes—
834C2×C4×C73—21no—
835C2×C4×C73—21no—
836C2×C4×C73—21no—
837C2×C4×C73—21no—
838C2×C4×C73—21no—
839C2×C4×C73—21no—
840C2×C4×C73—21no—
841C2×C4×C73—21no—
842C2×C4×C73—42no—
843C2×C4×C73—81no—
844C2×C4×C73—81no—
845C2×C4×C73C22×D411yescharacteristic
846C2×C4×C73C22×D411yescharacteristic
847C2×C4×C73C22×D411yescharacteristic
848C2×C4×C73C22×D411yescharacteristic
849C2×C4×C73C2511yescharacteristic
850C22⋊D73—24no—
851C22⋊D73—22no—
852C22⋊D73—22no—
853C22⋊D73—42no—
854C22⋊D73—42no—
855C22⋊D73—42no—
856C22⋊D73—42no—
857C22⋊D73—42no—
858C22⋊D73—42no—
859C22⋊D73—42no—
860C22⋊D73—42no—
861C22⋊D73—42no—
862C22⋊D73—42no—
863C22⋊D73—42no—
864C22⋊D73—42no—
865C22⋊D73—42no—
866C22⋊D73—42no—
867C22⋊D73—81no—
868C22⋊D73—81no—
869C22⋊D73—81no—
870C22⋊D73—81no—
871C22⋊D73—81no—
872C2×Dic73—21no—
873C2×Dic73—21no—
874C2×Dic73—21no—
875C2×Dic73—21no—
876C2×Dic73—41no—
877C2×Dic73—41no—
878C2×Dic73—42no—
879C2×Dic73—81no—
880C2×Dic73—81no—
881C2×Dic73C22×D411yescharacteristic
882C2×Dic73C22×D411yescharacteristic
883C2×Dic73C22×D411yescharacteristic
884C2×Dic73C22×D411yescharacteristic
885C2×Dic73C22×D411yescharacteristic
886D292—22no—
887D292—21no—
888D292—21no—
889D292—21no—
890D292—21no—
891D292—21no—
892D292—21no—
893D292—21no—
894D292—42no—
895D292—42no—
896D292—42no—
897D292—42no—
898D292—42no—
899D292—42no—
900D292—81no—
901D292—81no—
902D292H(5,𝔽2)12yes—
903C4×D73—22no—
904C4×D73—21no—
905C4×D73—21no—
906C4×D73—21no—
907C4×D73—21no—
908C4×D73—21no—
909C4×D73—21no—
910C4×D73—41no—
911C4×D73—41no—
912C4×D73—41no—
913C4×D73—41no—
914C4×D73—41no—
915C4×D73—42no—
916C4×D73—42no—
917C4×D73—42no—
918C4×D73—42no—
919C4×D73—81no—
920C4×D73—81no—
921C8×C73—21no—
922C8×C73—21no—
923C8×C73—21no—
924C8×C73—21no—
925#10596831—21no—
926#10596831—21no—
927#10596831—21no—
928#10596831—21no—
929C22×C73—21no—
930C22×C73—21no—
931C22×C73—21no—
932C22×C73—21no—
933C22×C73—22no—
934C22×C73—21no—
935C22×C73—41no—
936C22×C73—41no—
937C22×C73—41no—
938C22×C73—41no—
939C22×C73—41no—
940C22×C73—41no—
941C22×C73—41no—
942C22×C73—41no—
943C22×C73—41no—
944C22×C73—41no—
945C22×C73—41no—
946C22×C73—84no—
947C22×C73—84no—
948C22×C73C2×AGL(1,ℤ/8)12yes—
949C22×C73C23×D411yescharacteristic
950C2×D73—21no—
951C2×D73—21no—
952C2×D73—21no—
953C2×D73—21no—
954C2×D73—21no—
955C2×D73—21no—
956C2×D73—22no—
957C2×D73—21no—
958C2×D73—44no—
959C2×D73—44no—
960C2×D73—48no—
961C2×D73—41no—
962C2×D73—41no—
963C2×D73—41no—
964C2×D73—41no—
965C2×D73—41no—
966C2×D73—41no—
967C2×D73—41no—
968C2×D73—41no—
969C2×D73—41no—
970C2×D73—41no—
971C2×D73—41no—
972C2×D73—84no—
973C2×D73—84no—
974C2×D73—84no—
975C2×D73—84no—
976C2×D73—84no—
977C2×D73—84no—
978C2×D73—84no—
979C2×D73—84no—
980C2×D73—162no—
981C2×D73C2×AGL(1,ℤ/8)12yes—
982C2×D73C2×AGL(1,ℤ/8)12yes—
983C4×C73—21no—
984C4×C73—21no—
985C4×C73—21no—
986C4×C73—21no—
987C4×C73—41no—
988C4×C73—41no—
989C4×C73—41no—
990C4×C73—41no—
991C4×C73C2×H(5,𝔽2)11yescharacteristic
992C4×C73C2×H(5,𝔽2)11yescharacteristic
993Dic73—21no—
994Dic73—21no—
995Dic73—21no—
996Dic73—21no—
997Dic73—21no—
998Dic73—41no—
999Dic73—41no—
1000Dic73—41no—
1001Dic73—41no—
1002#61571—731nomaximal, Sylow
1003C2×C73—22no—
1004C2×C73—41no—
1005C2×C73—42no—
1006C2×C73—81no—
1007C2×C73—81no—
1008C2×C73—81no—
1009C2×C73#348411yescharacteristic
1010C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
1011C2×C73#358511yescharacteristic
1012D73—22no—
1013D73—22no—
1014D73—41no—
1015D73—42no—
1016D73—81no—
1017D73—81no—
1018D73—81no—
1019#3505—731no—
1020C2×D42—731no—
1021#3318—731no—
1022#3318—731no—
1023#3318—731no—
1024#3318—731no—
1025#3310—731no—
1026#3310—731no—
1027#3310—731no—
1028#3310—731no—
1029#3265—731no—
1030#3265—731no—
1031#3265—731no—
1032#3265D7311yescharacteristic, complemented
1033#3264—731no—
1034#3264—731no—
1035#3264—731no—
1036#3264—731no—
1037#3217—731no—
1038#3217—731no—
1039#3194—731no—
1040#3194—731no—
1041#3187—731no—
1042#3186—731no—
1043#3114—731no—
1044#3114—731no—
1045#3003—731no—
1046#3003—731no—
1047C2×#450—731no—
1048C2×#447—731no—
1049#2973—731no—
1050C73#6157111yescharacteristic, complemented, Sylow
1051C23×D4—731no—
1052C23×D4—731no—
1053C23×D4—1461no—
1054C2×AGL(1,ℤ/8)—731no—
1055C2×AGL(1,ℤ/8)—731no—
1056C2×AGL(1,ℤ/8)—731no—
1057C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
1058C22×SD16—731no—
1059C22×SD16C2×D7311yescharacteristic, complemented
1060C22×D8—731no—
1061C22×D8—731no—
1062#553—731no—
1063#553—731no—
1064#553—1461no—
1065#553—1461no—
1066#552—731no—
1067#552—731no—
1068#551—1461no—
1069#551—1461no—
1070#548—731no—
1071#548C2×D7311yescharacteristic, complemented
1072#546—731no—
1073#546—731no—
1074D42—731no—
1075D42—731no—
1076D42—731no—
1077D42—731no—
1078D42—731no—
1079D42—731no—
1080D42—731no—
1081D42—1461no—
1082D42—1461no—
1083D42—1461no—
1084D42—1461no—
1085D42C2×D7311yescharacteristic, complemented
1086#539—1461no—
1087#538—1461no—
1088#534—1461no—
1089C2×#127—731no—
1090#529—731no—
1091#529—731no—
1092#525—731no—
1093#525—731no—
1094C2×C22⋊Q8—731no—
1095C2×#121—731no—
1096C2×#121—731no—
1097C2×#121—731no—
1098C2×#121—1461no—
1099C2×#120—1461no—
1100C2×#120—1461no—
1101#518—1461no—
1102C2×C4×D4—731no—
1103C2×C4×D4—731no—
1104#496—731no—
1105#496—731no—
1106#496—731no—
1107#496C2×D7311yescharacteristic, complemented
1108#490—731no—
1109#490—731no—
1110#490—731no—
1111#490—731no—
1112#483—731no—
1113#483—731no—
1114#482—731no—
1115#482—731no—
1116#482—731no—
1117#482—731no—
1118#481—731no—
1119#481—731no—
1120#480—731no—
1121#480—731no—
1122#480—731no—
1123#480—731no—
1124#478—731no—
1125#478—731no—
1126#478—731no—
1127#478—731no—
1128#469—731no—
1129#469—731no—
1130#469—731no—
1131#469—731no—
1132#468—731no—
1133#468—731no—
1134#468—731no—
1135#468C2×D7311yescharacteristic, complemented
1136#466—731no—
1137#466—731no—
1138#466—731no—
1139#466C2×D7311yescharacteristic, complemented
1140#465—731no—
1141#465—731no—
1142#465—731no—
1143#465—731no—
1144#463—731no—
1145#463—731no—
1146#463—731no—
1147#463C2×D7311yescharacteristic, complemented
1148#460—731no—
1149#460—731no—
1150#460—731no—
1151#460C2×D7311yescharacteristic, complemented
1152#459—731no—
1153#459—731no—
1154#459—731no—
1155#459—731no—
1156#450—731no—
1157#450—731no—
1158#450—731no—
1159#450—731no—
1160#450—731no—
1161#450—731no—
1162#450—731no—
1163#450—731no—
1164#450—731no—
1165#450—731no—
1166#450—731no—
1167#450—731no—
1168#450—731no—
1169#450C2×D7311yescharacteristic, complemented
1170#449—731no—
1171#449—731no—
1172#449—731no—
1173#449C2×D7311yescharacteristic, complemented
1174#448—731no—
1175#448C2×D7311yescharacteristic, complemented
1176#447—731no—
1177#447—731no—
1178#447—731no—
1179#447—731no—
1180#447—731no—
1181#447—731no—
1182#447—731no—
1183#447—731no—
1184#447—731no—
1185#447—731no—
1186#447—731no—
1187#447—731no—
1188#447—731no—
1189#447—731no—
1190#447—731no—
1191#447C2×D7311yescharacteristic, complemented
1192#442—731no—
1193#442—731no—
1194#442—731no—
1195#442—731no—
1196#440—731no—
1197#440—731no—
1198#440—731no—
1199#440C2×D7311yescharacteristic, complemented
1200#435—731no—
1201#435—731no—
1202#435—731no—
1203#435—731no—
1204#435—731no—
1205#435—731no—
1206#435—731no—
1207#435C2×D7311yescharacteristic, complemented
1208#432—731no—
1209#432—731no—
1210#418—731no—
1211#418—731no—
1212#418—731no—
1213#418—731no—
1214C2×#102—731no—
1215C2×#102—731no—
1216C2×#102—731no—
1217C2×#102—731no—
1218#407—731no—
1219#407—731no—
1220C2×C22⋊C8—731no—
1221C2×C22⋊C8—731no—
1222C25—1461no—
1223C25—1461no—
1224C2×#41—731no—
1225C2×#41C22×D7311yescharacteristic, complemented
1226C22×Q8C22×D7311yescharacteristic, complemented
1227C22×D4—21no—
1228C22×D4—2922no—
1229C22×D4—2922no—
1230C22×D4—2928no—
1231C22×D4—2922no—
1232C22×D4—2922no—
1233C22×D4—731no—
1234C22×D4—731no—
1235C22×D4—731no—
1236C22×D4—731no—
1237C22×D4—731no—
1238C22×D4—731no—
1239C22×D4—731no—
1240C22×D4—731no—
1241C22×D4—731no—
1242C22×D4—731no—
1243C22×D4—731no—
1244C22×D4—1461no—
1245C22×D4—1461no—
1246C22×D4—1461no—
1247C22×D4—1461no—
1248C22×D4—1461no—
1249C22×D4—1461no—
1250C22×D4—1461no—
1251C22×D4—1461no—
1252C22×D4—1461no—
1253C22×D4—1461no—
1254C22×D4—1461no—
1255C22×D4—1461no—
1256C22×D4—1461no—
1257C22×D4—1461no—
1258C22×D4—1461no—
1259C22×D4—1461no—
1260C22×D4—1461no—
1261C22×D4—1461no—
1262C22×D4C22×D7311yescharacteristic
1263C22×D4C22×D7311yescharacteristic
1264C23×C4—731no—
1265C23×C4—731no—
1266C23×C4—1461no—
1267AGL(1,ℤ/8)—42no—
1268AGL(1,ℤ/8)—2922no—
1269AGL(1,ℤ/8)—2922no—
1270AGL(1,ℤ/8)—2922no—
1271C2×SD16—42no—
1272C2×SD16—2922no—
1273C2×SD16—731no—
1274C2×SD16—731no—
1275C2×SD16—731no—
1276C2×SD16—731no—
1277C2×SD16—731no—
1278C2×SD16—731no—
1279C2×SD16C22×D7311yescharacteristic
1280C2×SD16C22×D7311yescharacteristic
1281C2×SD16C22×D7311yescharacteristic, complemented
1282C2×SD16C22×D7311yescharacteristic, complemented
1283C2×SD16C22×D7311yescharacteristic, complemented
1284C2×SD16C22×D7311yescharacteristic, complemented
1285C2×D8—2922no—
1286C2×D8—2922no—
1287C2×D8—731no—
1288C2×D8—731no—
1289C2×D8—731no—
1290C2×D8—731no—
1291C2×D8—731no—
1292C2×D8—731no—
1293C2×D8—731no—
1294C2×D8—731no—
1295C2×D8—731no—
1296C2×D8C22×D7311yescharacteristic
1297C2×D8C22×D7311yescharacteristic, complemented
1298C2×D8C22×D7311yescharacteristic, complemented
1299C2×M16—731no—
1300C2×M16—731no—
1301C2×M16—731no—
1302C2×M16C22×D7311yescharacteristic, complemented
1303C22×C8—731no—
1304C22×C8—731no—
1305C22×C8—731no—
1306C22×C8C22×D7311yescharacteristic, complemented
1307#127—731no—
1308#127—731no—
1309#127—731no—
1310#127—1461no—
1311#127—1461no—
1312#127C22×D7311yescharacteristic
1313#126—1461no—
1314#126—1461no—
1315#126—1461no—
1316#126—1461no—
1317#126—1461no—
1318#126—1461no—
1319#125—731no—
1320#125—731no—
1321#125—1461no—
1322#125—1461no—
1323#124—21no—
1324#124—731no—
1325#124—1461no—
1326#124C22×D7311yescharacteristic, complemented
1327#123—1461no—
1328#123—1461no—
1329#123—1461no—
1330#123—1461no—
1331#123—1461no—
1332#123—1461no—
1333#123—1461no—
1334#123—1461no—
1335#123—1461no—
1336#123—1461no—
1337C22⋊Q8—21no—
1338C22⋊Q8—731no—
1339C22⋊Q8—731no—
1340C22⋊Q8—731no—
1341C22⋊Q8—731no—
1342C22⋊Q8—731no—
1343C22⋊Q8—1461no—
1344C22⋊Q8—1461no—
1345C22⋊Q8—1461no—
1346C22⋊Q8C22×D7311yescharacteristic, complemented
1347#121—21no—
1348#121—21no—
1349#121—731no—
1350#121—731no—
1351#121—731no—
1352#121—731no—
1353#121—731no—
1354#121—731no—
1355#121—731no—
1356#121—731no—
1357#121—731no—
1358#121—731no—
1359#121—731no—
1360#121—1461no—
1361#121—1461no—
1362#121—1461no—
1363#121—1461no—
1364#121—1461no—
1365#121—1461no—
1366#121—1461no—
1367#121—1461no—
1368#121—1461no—
1369#121—1461no—
1370#121—1461no—
1371#121—1461no—
1372#121—1461no—
1373#121—1461no—
1374#121—1461no—
1375#121—1461no—
1376#121—1461no—
1377#121—1461no—
1378#121C22×D7311yescharacteristic
1379#121C22×D7311yescharacteristic
1380#121C22×D7311yescharacteristic, complemented
1381#120—21no—
1382#120—21no—
1383#120—1461no—
1384#120—1461no—
1385#120—1461no—
1386#120—1461no—
1387#120—1461no—
1388#120—1461no—
1389#120—1461no—
1390#120—1461no—
1391#120—1461no—
1392#120—1461no—
1393#120—1461no—
1394#120—1461no—
1395#120—1461no—
1396#120—1461no—
1397#120—1461no—
1398#120—1461no—
1399#120—1461no—
1400#120—1461no—
1401C4×Q8—731no—
1402C4×Q8C22×D7311yescharacteristic, complemented
1403C4×D4—21no—
1404C4×D4—731no—
1405C4×D4—731no—
1406C4×D4—731no—
1407C4×D4—731no—
1408C4×D4—731no—
1409C4×D4—731no—
1410C4×D4—731no—
1411C4×D4—731no—
1412C4×D4—731no—
1413C4×D4—731no—
1414C4×D4—731no—
1415C4×D4—731no—
1416C4×D4—1461no—
1417C4×D4—1461no—
1418C4×D4—1461no—
1419C4×D4—1461no—
1420C4×D4—1461no—
1421C4×D4—1461no—
1422C4×D4—1461no—
1423C4×D4—1461no—
1424C4×D4—1461no—
1425C4×D4—1461no—
1426C4×D4—1461no—
1427C4×D4C22×D7311yescharacteristic
1428C4×D4C22×D7311yescharacteristic
1429#117—731no—
1430#117—731no—
1431#117—1461no—
1432#117—1461no—
1433#117—1461no—
1434#117—1461no—
1435C2×C4⋊C4—731no—
1436C2×C4⋊C4—731no—
1437C2×C4⋊C4—731no—
1438C2×C4⋊C4—731no—
1439C2×C4⋊C4—1461no—
1440C2×C22⋊C4—731no—
1441C2×C22⋊C4—731no—
1442C2×C22⋊C4—1461no—
1443C2×C22⋊C4—1461no—
1444C2×C22⋊C4—1461no—
1445C2×C22⋊C4—1461no—
1446C2×C22⋊C4—1461no—
1447C2×C22⋊C4—1461no—
1448C2×C22⋊C4—1461no—
1449C2×C42—731no—
1450#107—731no—
1451#107—731no—
1452#107—731no—
1453#107C22×D7311yescharacteristic, complemented
1454#106—731no—
1455#106—731no—
1456#106—731no—
1457#106—731no—
1458C4⋊C8—731no—
1459C4⋊C8—731no—
1460C4⋊C8—731no—
1461C4⋊C8C22×D7311yescharacteristic, complemented
1462#103—731no—
1463#103—731no—
1464#103C22×D7311yescharacteristic, complemented
1465#103C22×D7311yescharacteristic, complemented
1466#102—731no—
1467#102—731no—
1468#102—731no—
1469#102—731no—
1470#102—731no—
1471#102—731no—
1472#102—731no—
1473#102—731no—
1474#102—731no—
1475#102—731no—
1476#102—731no—
1477#102—731no—
1478#102—731no—
1479#102—731no—
1480#102—731no—
1481#102—731no—
1482#102—731no—
1483#102—731no—
1484#102—731no—
1485#102—731no—
1486#102—731no—
1487#102—731no—
1488#102—731no—
1489#102—731no—
1490#102C22×D7311yescharacteristic
1491#102C22×D7311yescharacteristic, complemented
1492#102C22×D7311yescharacteristic, complemented
1493#102C22×D7311yescharacteristic, complemented
1494C22⋊C8—731no—
1495C22⋊C8—731no—
1496C22⋊C8—731no—
1497C22⋊C8—731no—
1498C22⋊C8—731no—
1499C22⋊C8—731no—
1500C22⋊C8—731no—
1501C22⋊C8—731no—
1502C22⋊C8—731no—
1503C22⋊C8—731no—
1504C22⋊C8C22×D7311yescharacteristic, complemented
1505C22⋊C8C22×D7311yescharacteristic, complemented
1506#97—731no—
1507#97—731no—
1508#97—731no—
1509#97C22×D7311yescharacteristic, complemented
1510C24—21no—
1511C24—21no—
1512C24—2924no—
1513C24—2924no—
1514C24—2924no—
1515C24—2924no—
1516C24—5842no—
1517C24—5842no—
1518C24—731no—
1519C24—731no—
1520C24—1461no—
1521C24—1461no—
1522C24—1461no—
1523C24—1461no—
1524C24—1461no—
1525C24—1461no—
1526C24—1461no—
1527C24—1461no—
1528C24—1461no—
1529C24—1461no—
1530#41—41no—
1531#41—41no—
1532#41—2921no—
1533#41—2921no—
1534C2×Q8—21no—
1535C2×Q8—41no—
1536C2×Q8—41no—
1537C2×Q8C23×D7311yescharacteristic
1538C2×Q8C23×D7311yescharacteristic
1539C2×D4—22no—
1540C2×D4—22no—
1541C2×D4—21no—
1542C2×D4—21no—
1543C2×D4—21no—
1544C2×D4—21no—
1545C2×D4—21no—
1546C2×D4—21no—
1547C2×D4—21no—
1548C2×D4—21no—
1549C2×D4—41no—
1550C2×D4—41no—
1551C2×D4—44no—
1552C2×D4—2921no—
1553C2×D4—2921no—
1554C2×D4—2924no—
1555C2×D4—2924no—
1556C2×D4—2924no—
1557C2×D4—2924no—
1558C2×D4—2924no—
1559C2×D4—2924no—
1560C2×D4—2924no—
1561C2×D4—2924no—
1562C2×D4—2924no—
1563C2×D4—2924no—
1564C2×D4—2924no—
1565C2×D4—2924no—
1566C2×D4—2924no—
1567C2×D4—2924no—
1568C2×D4—2924no—
1569C2×D4—2924no—
1570C2×D4—2921no—
1571C2×D4—2921no—
1572C2×D4—2921no—
1573C2×D4—2921no—
1574C2×D4—2921no—
1575C2×D4—2921no—
1576C2×D4—2921no—
1577C2×D4—2921no—
1578C2×D4—2921no—
1579C2×D4—2921no—
1580C2×D4—2924no—
1581C2×D4—5842no—
1582C2×D4—731no—
1583C2×D4—731no—
1584C2×D4—731no—
1585C2×D4—731no—
1586C2×D4—731no—
1587C2×D4—731no—
1588C2×D4—731no—
1589C2×D4—1461no—
1590C2×D4—1461no—
1591C2×D4—1461no—
1592C2×D4—1462no—
1593C2×D4—1462no—
1594C2×D4—1461no—
1595C2×D4—1461no—
1596C2×D4—1461no—
1597C2×D4—1461no—
1598C2×D4—1461no—
1599C2×D4—1461no—
1600C2×D4—1461no—
1601C2×D4—1461no—
1602C2×D4—1461no—
1603C2×D4—1461no—
1604C2×D4—1461no—
1605C2×D4—1461no—
1606C2×D4—1461no—
1607C2×D4—1462no—
1608C2×D4—1462no—
1609C2×D4—1462no—
1610C2×D4—1464no—
1611C2×D4—1461no—
1612C2×D4—1461no—
1613C2×D4—1461no—
1614C2×D4—1461no—
1615C2×D4—1461no—
1616C2×D4—1461no—
1617C2×D4—1462no—
1618C2×D4—1462no—
1619C2×D4—1461no—
1620C2×D4—1461no—
1621C2×D4—1462no—
1622C2×D4—1461no—
1623C2×D4—1461no—
1624C2×D4—1461no—
1625C2×D4—1461no—
1626C2×D4D4×D7311yescharacteristic
1627C2×D4C23×D7311yescharacteristic
1628C2×D4C23×D7311yescharacteristic
1629C2×D4C23×D7311yescharacteristic
1630C2×D4C23×D7311yescharacteristic
1631C22×C4—21no—
1632C22×C4—21no—
1633C22×C4—21no—
1634C22×C4—2921no—
1635C22×C4—2921no—
1636C22×C4—2921no—
1637C22×C4—2921no—
1638C22×C4—2924no—
1639C22×C4—731no—
1640C22×C4—731no—
1641C22×C4—731no—
1642C22×C4—731no—
1643C22×C4—731no—
1644C22×C4—731no—
1645C22×C4—731no—
1646C22×C4—731no—
1647C22×C4—731no—
1648C22×C4—731no—
1649C22×C4—731no—
1650C22×C4—1461no—
1651C22×C4—1461no—
1652C22×C4—1461no—
1653C22×C4—1461no—
1654C22×C4—1461no—
1655C22×C4—1461no—
1656C22×C4—1461no—
1657C22×C4—1461no—
1658C22×C4—1461no—
1659C22×C4C23×D7311yescharacteristic
1660C22×C4C23×D7311yescharacteristic
1661SD16—22no—
1662SD16—22no—
1663SD16—41no—
1664SD16—41no—
1665SD16—41no—
1666SD16—41no—
1667SD16—2921no—
1668SD16—2921no—
1669SD16—2921no—
1670SD16—2921no—
1671SD16—1462no—
1672SD16—1462no—
1673D8—22no—
1674D8—41no—
1675D8—41no—
1676D8—2921no—
1677D8—2921no—
1678D8—2921no—
1679D8—2921no—
1680D8—2921no—
1681D8—2921no—
1682D8—1462no—
1683D8—1462no—
1684D8—1462no—
1685M16—41no—
1686M16—2921no—
1687M16—2921no—
1688M16—2921no—
1689C2×C8—41no—
1690C2×C8—2921no—
1691C2×C8—2921no—
1692C2×C8—2921no—
1693C2×C8—731no—
1694C2×C8—731no—
1695C2×C8—731no—
1696C2×C8—731no—
1697C2×C8C23×D7311yescharacteristic
1698C2×C8C23×D7311yescharacteristic
1699C2×C8C23×D7311yescharacteristic
1700C2×C8C23×D7311yescharacteristic
1701C4⋊C4—21no—
1702C4⋊C4—21no—
1703C4⋊C4—731no—
1704C4⋊C4—731no—
1705C4⋊C4—731no—
1706C4⋊C4—731no—
1707C4⋊C4—731no—
1708C4⋊C4—731no—
1709C4⋊C4—731no—
1710C4⋊C4—1461no—
1711C4⋊C4—1461no—
1712C4⋊C4—1461no—
1713C4⋊C4—1461no—
1714C4⋊C4—1461no—
1715C4⋊C4—1461no—
1716C4⋊C4—1461no—
1717C4⋊C4—1461no—
1718C4⋊C4—1461no—
1719C4⋊C4—1461no—
1720C4⋊C4—1461no—
1721C4⋊C4—1461no—
1722C4⋊C4—1461no—
1723C4⋊C4D4×D7311yescharacteristic
1724C4⋊C4C23×D7311yescharacteristic
1725C4⋊C4C23×D7311yescharacteristic
1726C22⋊C4—21no—
1727C22⋊C4—21no—
1728C22⋊C4—21no—
1729C22⋊C4—21no—
1730C22⋊C4—21no—
1731C22⋊C4—21no—
1732C22⋊C4—21no—
1733C22⋊C4—731no—
1734C22⋊C4—731no—
1735C22⋊C4—731no—
1736C22⋊C4—731no—
1737C22⋊C4—731no—
1738C22⋊C4—731no—
1739C22⋊C4—1461no—
1740C22⋊C4—1461no—
1741C22⋊C4—1461no—
1742C22⋊C4—1461no—
1743C22⋊C4—1461no—
1744C22⋊C4—1461no—
1745C22⋊C4—1461no—
1746C22⋊C4—1461no—
1747C22⋊C4—1461no—
1748C22⋊C4—1461no—
1749C22⋊C4—1461no—
1750C22⋊C4—1461no—
1751C22⋊C4—1461no—
1752C22⋊C4—1461no—
1753C22⋊C4—1461no—
1754C22⋊C4—1461no—
1755C22⋊C4—1461no—
1756C22⋊C4—1461no—
1757C22⋊C4—1461no—
1758C22⋊C4—1461no—
1759C22⋊C4—1461no—
1760C22⋊C4—1461no—
1761C22⋊C4—1461no—
1762C22⋊C4—1461no—
1763C22⋊C4—1461no—
1764C22⋊C4D4×D7311yescharacteristic
1765C22⋊C4D4×D7311yescharacteristic
1766C42—21no—
1767C42—731no—
1768C42—731no—
1769C42—731no—
1770C42—1461no—
1771C42—1461no—
1772C42—1461no—
1773C42C23×D7311yescharacteristic
1774C23—21no—
1775C23—21no—
1776C23—21no—
1777C23—21no—
1778C23—42no—
1779C23—42no—
1780C23—42no—
1781C23—42no—
1782C23—81no—
1783C23—81no—
1784C23—2921no—
1785C23—2921no—
1786C23—2921no—
1787C23—2921no—
1788C23—2922no—
1789C23—2922no—
1790C23—2922no—
1791C23—2922no—
1792C23—2922no—
1793C23—2922no—
1794C23—2922no—
1795C23—2922no—
1796C23—2922no—
1797C23—2922no—
1798C23—2922no—
1799C23—2922no—
1800C23—2922no—
1801C23—2922no—
1802C23—2922no—
1803C23—2922no—
1804C23—2922no—
1805C23—2922no—
1806C23—2922no—
1807C23—2922no—
1808C23—2922no—
1809C23—5841no—
1810C23—5841no—
1811C23—5841no—
1812C23—5841no—
1813C23—5841no—
1814C23—5841no—
1815C23—5841no—
1816C23—5841no—
1817C23—58416no—
1818C23—58416no—
1819C23—734no—
1820C23—731no—
1821C23—731no—
1822C23—731no—
1823C23—1462no—
1824C23—1464no—
1825C23—1461no—
1826C23—1461no—
1827C23—1461no—
1828C23—1461no—
1829C23C2×D4×D7311yescharacteristic
1830C23C2×D4×D7311yescharacteristic
1831Q8—21no—
1832Q8—21no—
1833Q8—21no—
1834Q8—21no—
1835Q8—81no—
1836D4—22no—
1837D4—21no—
1838D4—21no—
1839D4—21no—
1840D4—21no—
1841D4—21no—
1842D4—21no—
1843D4—21no—
1844D4—42no—
1845D4—42no—
1846D4—42no—
1847D4—42no—
1848D4—42no—
1849D4—42no—
1850D4—81no—
1851D4—81no—
1852D4—2922no—
1853D4—2922no—
1854D4—2922no—
1855D4—2922no—
1856D4—2922no—
1857D4—2922no—
1858D4—2922no—
1859D4—2922no—
1860D4—2922no—
1861D4—2922no—
1862D4—2922no—
1863D4—2922no—
1864D4—2922no—
1865D4—2922no—
1866D4—2922no—
1867D4—2922no—
1868D4—2922no—
1869D4—2922no—
1870D4—2922no—
1871D4—2922no—
1872D4—5841no—
1873D4—5841no—
1874D4—5841no—
1875D4—5841no—
1876D4—5841no—
1877D4—5841no—
1878D4—5841no—
1879D4—732no—
1880D4—1462no—
1881D4—1462no—
1882D4—1464no—
1883D4—1462no—
1884D4—1461no—
1885D4—1461no—
1886D4—1461no—
1887D4—1461no—
1888D4—1461no—
1889D4—1461no—
1890D4—1461no—
1891D4#1455663612yes—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—42no—
1901C2×C4—81no—
1902C2×C4—81no—
1903C2×C4—2922no—
1904C2×C4—2921no—
1905C2×C4—2921no—
1906C2×C4—2921no—
1907C2×C4—2921no—
1908C2×C4—2921no—
1909C2×C4—2922no—
1910C2×C4—2922no—
1911C2×C4—2922no—
1912C2×C4—2922no—
1913C2×C4—2921no—
1914C2×C4—2921no—
1915C2×C4—5841no—
1916C2×C4—5841no—
1917C2×C4—5841no—
1918C2×C4—5841no—
1919C2×C4—731no—
1920C2×C4—731no—
1921C2×C4—731no—
1922C2×C4—731no—
1923C2×C4—731no—
1924C2×C4—1462no—
1925C2×C4—1461no—
1926C2×C4—1461no—
1927C2×C4—1461no—
1928C2×C4—1461no—
1929C2×C4—1461no—
1930C2×C4—1461no—
1931C2×C4—1461no—
1932C2×C4—1461no—
1933C2×C4—1461no—
1934C2×C4—1461no—
1935C2×C4C2×D4×D7311yescharacteristic
1936C2×C4C2×D4×D7311yescharacteristic
1937C2×C4C2×D4×D7311yescharacteristic
1938C2×C4C2×D4×D7311yescharacteristic
1939C2×C4C24×D7311yescharacteristic
1940C8—21no—
1941C8—21no—
1942C8—21no—
1943C8—21no—
1944C8—1461no—
1945C8—1461no—
1946C8—1461no—
1947C8—1461no—
1948C22—21no—
1949C22—21no—
1950C22—21no—
1951C22—22no—
1952C22—21no—
1953C22—21no—
1954C22—41no—
1955C22—41no—
1956C22—41no—
1957C22—41no—
1958C22—41no—
1959C22—41no—
1960C22—41no—
1961C22—41no—
1962C22—41no—
1963C22—41no—
1964C22—41no—
1965C22—84no—
1966C22—84no—
1967C22—2924no—
1968C22—2924no—
1969C22—2928no—
1970C22—2921no—
1971C22—2921no—
1972C22—2921no—
1973C22—2921no—
1974C22—2921no—
1975C22—2921no—
1976C22—2921no—
1977C22—2921no—
1978C22—2921no—
1979C22—2921no—
1980C22—2921no—
1981C22—5844no—
1982C22—5844no—
1983C22—5844no—
1984C22—5844no—
1985C22—5844no—
1986C22—5844no—
1987C22—5844no—
1988C22—5844no—
1989C22—732no—
1990C22—732no—
1991C22—11682no—
1992C22—1461no—
1993C22—1462no—
1994C22—1461no—
1995C22—1461no—
1996C22—1461no—
1997C22—1461no—
1998C22—1461no—
1999C22—1461no—
2000C22AGL(1,ℤ/8)×D7312yes—
2001C22C22×D4×D7311yescharacteristic
2002C4—21no—
2003C4—21no—
2004C4—21no—
2005C4—21no—
2006C4—41no—
2007C4—41no—
2008C4—41no—
2009C4—41no—
2010C4—2921no—
2011C4—2921no—
2012C4—2921no—
2013C4—2921no—
2014C4—1461no—
2015C4—1461no—
2016C4—1461no—
2017C4—1461no—
2018C4—1461no—
2019C4H(5,𝔽2)×D7311yescharacteristic
2020C4C2×#1455663611yescharacteristic
2021C2—22no—
2022C2—41no—
2023C2—42no—
2024C2—81no—
2025C2—81no—
2026C2—81no—
2027C2—2922no—
2028C2—2921no—
2029C2—5841no—
2030C2—5841no—
2031C2—5841no—
2032C2—1462no—
2033C2—1462no—
2034C2#2262355911yescharacteristic
2035C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
2036C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3265C2
socleC22×C73C23×D4
hypercenter#3265D73
hypocenterC73#61571
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22623767C2semidirect
2. D42×D73C2semidirect
3. #22622078C2semidirect
4. #22622076C2semidirect
5. #22622074C2semidirect
6. #22622072C2semidirect
7. #22621959C2semidirect
8. #22621957C2semidirect
9. #22621947C2semidirect
10. #22621945C2semidirect
11. #22621427C2semidirect
12. #22621426C2semidirect
13. #22621419C2semidirect
14. #22621417C2semidirect
15. #22621414C2semidirect
16. #22621410C2semidirect
17. #22621405C2semidirect
18. #22620953C2semidirect
19. #22620945C2semidirect
20. #22620746C2semidirect
21. #22620743C2semidirect
22. #22620686C2semidirect
23. #22620678C2semidirect
24. #22620073C2semidirect
25. #22620068C2semidirect
26. #22619159C2semidirect
27. #22619156C2semidirect
28. C2×#17988736C2semidirect
29. #447×D73C2semidirect
30. #22618956C2semidirect
31. C73×#3265C2semidirect
34. C22×D4×D73C22semidirect
35. C2×#14556618C22semidirect
36. C2×#14556618C22semidirect
37. C2×#14556616C22semidirect
38. C22×#11924015C22semidirect
39. C2×D8×D73C22semidirect
40. C2×D8×D73C22semidirect
41. #17989289C22semidirect
43. #17989283C22semidirect
45. #17989278C22semidirect
46. #17989271C22semidirect
49. #17989248C22semidirect
50. #17989230C22semidirect
51. #17989225C22semidirect
53. D4×D292C22semidirect
57. #17989221C22semidirect
60. D4×C22⋊D73C22semidirect
66. #127×D73C22semidirect
67. #17989124C22semidirect
68. #17989116C22semidirect
69. #17989100C22semidirect
70. #17989094C22semidirect
71. C2×#14556567C22semidirect
74. #121×D73C22semidirect
75. #121×D73C22semidirect
80. C4×D4×D73C22semidirect
81. #17988977C22semidirect
82. #17988973C22semidirect
83. #17988973C22semidirect
84. #17988952C22semidirect
85. #17988951C22semidirect
86. #17988950C22semidirect
87. #17988950C22semidirect
88. #17988916C22semidirect
89. #17988916C22semidirect
90. #17988914C22semidirect
91. #17988912C22semidirect
92. #17988910C22semidirect
93. #17988908C22semidirect
94. #17988906C22semidirect
95. #17988903C22semidirect
96. #17988902C22semidirect
97. #17988902C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988890C22semidirect
101. #17988889C22semidirect
102. #17988888C22semidirect
103. #17988887C22semidirect
104. #17988840C22semidirect
105. #17988839C22semidirect
106. #17988838C22semidirect
107. #17988837C22semidirect
108. #17988836C22semidirect
109. #17988835C22semidirect
110. #17988830C22semidirect
111. #17988823C22semidirect
112. #17988821C22semidirect
113. #17988821C22semidirect
114. #17988819C22semidirect
115. #17988819C22semidirect
116. #17988813C22semidirect
117. #17988813C22semidirect
118. #17988805C22semidirect
119. #17988804C22semidirect
120. #17988799C22semidirect
121. #17988787C22semidirect
122. #17988785C22semidirect
123. #17988785C22semidirect
124. #17988783C22semidirect
125. #17988780C22semidirect
126. #17988780C22semidirect
127. #17988779C22semidirect
128. #17988737C22semidirect
129. #17988736C22semidirect
130. #17988736C22semidirect
131. #17988736C22semidirect
132. #17988736C22semidirect
133. #17988736C22semidirect
134. #17988736C22semidirect
135. #17988736C22semidirect
136. #17988736C22semidirect
137. #17988736C22semidirect
138. #17988736C22semidirect
139. #17988736C22semidirect
140. #17988736C22semidirect
141. #17988735C22semidirect
142. #17988732C22semidirect
143. #17988731C22semidirect
144. #17988726C22semidirect
145. #17988723C22semidirect
146. #17988723C22semidirect
148. #17988722C22semidirect
149. #17988722C22semidirect
150. #17988722C22semidirect
151. #17988721C22semidirect
152. #17988721C22semidirect
153. #17988720C22semidirect
155. #17988719C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988719C22semidirect
159. #17988719C22semidirect
160. #17988700C22semidirect
161. #17988699C22semidirect
162. #17988697C22semidirect
163. #17988696C22semidirect
164. #17988690C22semidirect
165. #17988688C22semidirect
166. #17988685C22semidirect
167. #17988661C22semidirect
168. #17988660C22semidirect
169. #17988659C22semidirect
170. #17988658C22semidirect
171. #17988657C22semidirect
172. #17988656C22semidirect
173. #17988655C22semidirect
174. #17988643C22semidirect
175. #17988642C22semidirect
176. #17988593C22semidirect
177. #17988592C22semidirect
178. #17988590C22semidirect
179. #17988590C22semidirect
180. C2×#14556513C22semidirect
181. C2×#14556512C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #17988550C22semidirect
185. #17988549C22semidirect
186. C2×#14556503C22semidirect
187. C22⋊C8×D73C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C22×SD16×C73C22semidirect
190. #548×C73C22semidirect
191. D42×C73C22semidirect
192. #496×C73C22semidirect
193. #468×C73C22semidirect
194. #466×C73C22semidirect
195. #463×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #449×C73C22semidirect
199. #448×C73C22semidirect
200. #447×C73C22semidirect
201. #440×C73C22semidirect
202. #435×C73C22semidirect
205. C2×#11924029C23semidirect
239. C2×D4×D73C23semidirect
249. C2×#11924015C23semidirect
250. C2×#11924015C23semidirect
251. C2×#11924015C23semidirect
252. C2×#11924015C23semidirect
254. C2×D584C23semidirect
255. C2×D584C23semidirect
258. C2×#11924013C23semidirect
259. C2×#11924013C23semidirect
260. C2×#11924013C23semidirect
261. C2×#11924013C23semidirect
264. C2×#11924012C23semidirect
265. C2×#11924011C23semidirect
266. C2×#11924011C23semidirect
267. C22×#10596831C23semidirect
268. C2×C8×D73C23semidirect
269. C2×C8×D73C23semidirect
281. #14556583C23semidirect
282. #14556582C23semidirect
286. #14556580C23semidirect
302. #14556567C23semidirect
303. #14556567C23semidirect
304. #14556567C23semidirect
313. #14556565C23semidirect
314. #14556565C23semidirect
333. #14556562C23semidirect
352. Q8×Dic73C23semidirect
356. C4×D292C23semidirect
360. D4×Dic73C23semidirect
376. #14556550C23semidirect
378. #14556549C23semidirect
382. C2×C4⋊Dic73C23semidirect
386. C4⋊C4×D73C23semidirect
397. #14556525C23semidirect
398. #14556524C23semidirect
399. #14556524C23semidirect
400. #14556523C23semidirect
401. #14556523C23semidirect
402. #14556522C23semidirect
403. #14556522C23semidirect
404. C4⋊#10596831C23semidirect
405. #14556520C23semidirect
406. #14556520C23semidirect
407. #14556515C23semidirect
408. #14556515C23semidirect
412. #14556513C23semidirect
413. #14556513C23semidirect
414. #14556513C23semidirect
415. #14556513C23semidirect
416. #14556513C23semidirect
417. #14556513C23semidirect
418. #14556513C23semidirect
422. #14556512C23semidirect
423. #14556512C23semidirect
424. #14556512C23semidirect
425. #14556512C23semidirect
426. #14556512C23semidirect
427. #14556512C23semidirect
428. #14556512C23semidirect
430. #14556511C23semidirect
431. #14556511C23semidirect
432. #14556511C23semidirect
433. C22⋊#10596831C23semidirect
434. C22⋊#10596831C23semidirect
439. #14556503C23semidirect
440. #14556503C23semidirect
441. #14556503C23semidirect
442. #14556503C23semidirect
443. #14556502C23semidirect
444. #14556501C23semidirect
445. #14556501C23semidirect
446. C2×#41×C73C23semidirect
447. C22×Q8×C73C23semidirect
455. C2×SD16×C73C23semidirect
456. C2×SD16×C73C23semidirect
457. C2×SD16×C73C23semidirect
458. C2×SD16×C73C23semidirect
460. C2×D8×C73C23semidirect
461. C2×D8×C73C23semidirect
462. C2×M16×C73C23semidirect
463. C22×C8×C73C23semidirect
466. #124×C73C23semidirect
468. C22⋊Q8×C73C23semidirect
473. #121×C73C23semidirect
476. C4×Q8×C73C23semidirect
480. #107×C73C23semidirect
481. C4⋊C8×C73C23semidirect
482. #103×C73C23semidirect
483. #103×C73C23semidirect
485. #102×C73C23semidirect
486. #102×C73C23semidirect
487. #102×C73C23semidirect
488. C22⋊C8×C73C23semidirect
489. C22⋊C8×C73C23semidirect
490. #97×C73C23semidirect
808. C22×D73AGL(1,ℤ/8)semidirect
1032. #3265D73semidirect
1050. C73#61571semidirect
1057. C2×AGL(1,ℤ/8)C2×D73semidirect
1059. C22×SD16C2×D73semidirect
1071. #548C2×D73semidirect
1085. D42C2×D73semidirect
1107. #496C2×D73semidirect
1135. #468C2×D73semidirect
1139. #466C2×D73semidirect
1147. #463C2×D73semidirect
1151. #460C2×D73semidirect
1169. #450C2×D73semidirect
1173. #449C2×D73semidirect
1175. #448C2×D73semidirect
1191. #447C2×D73semidirect
1199. #440C2×D73semidirect
1207. #435C2×D73semidirect
1225. C2×#41C22×D73semidirect
1226. C22×Q8C22×D73semidirect
1281. C2×SD16C22×D73semidirect
1282. C2×SD16C22×D73semidirect
1283. C2×SD16C22×D73semidirect
1284. C2×SD16C22×D73semidirect
1297. C2×D8C22×D73semidirect
1298. C2×D8C22×D73semidirect
1302. C2×M16C22×D73semidirect
1306. C22×C8C22×D73semidirect
1326. #124C22×D73semidirect
1346. C22⋊Q8C22×D73semidirect
1380. #121C22×D73semidirect
1402. C4×Q8C22×D73semidirect
1453. #107C22×D73semidirect
1461. C4⋊C8C22×D73semidirect
1464. #103C22×D73semidirect
1465. #103C22×D73semidirect
1491. #102C22×D73semidirect
1492. #102C22×D73semidirect
1493. #102C22×D73semidirect
1504. C22⋊C8C22×D73semidirect
1505. C22⋊C8C22×D73semidirect
1509. #97C22×D73semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#226237672
D42×D732
#226220782
#226220762
#226220742
#226220722
#226219592
#226219572
#226219472
#226219452
#226214272
#226214262
#226214192
#226214172
#226214142
#226214102
#226214052
#226209532
#226209452
#226207462
#226207432
#226206862
#226206782
#226200732
#226200682
#226191592
#226191562
C2×#179887362
#447×D732
#226189562
C73×#32652
#6157173