Finite Group Databasebeta

← #33972837

Subgroups — #33972837

Order 18688.

2166 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624295C211yesmaximal, characteristic, complemented
2#22623687C211yesmaximal, characteristic, complemented
3#22622079C211yesmaximal, characteristic, complemented
4#22622072C211yesmaximal, characteristic, complemented
5#22621973C211yesmaximal, characteristic, complemented
6#22621960C211yesmaximal, characteristic, complemented
7#22621912C211yesmaximal, characteristic, complemented
8#22621909C211yesmaximal, characteristic, complemented
9#22621896C211yesmaximal, characteristic, complemented
10#22621887C211yesmaximal, characteristic, complemented
11#22621465C211yesmaximal, characteristic, complemented
12#22621464C211yesmaximal, characteristic, complemented
13#22621452C211yesmaximal, characteristic, complemented
14#22621451C211yesmaximal, characteristic, complemented
15#22621411C211yesmaximal, characteristic, complemented
16#22621410C211yesmaximal, characteristic, complemented
17#22621409C211yesmaximal, characteristic, complemented
18#22620963C211yesmaximal, characteristic, complemented
19#22620924C211yesmaximal, characteristic, complemented
20#22620840C211yesmaximal, characteristic, complemented
21#22620836C211yesmaximal, characteristic, complemented
22#22620779C211yesmaximal, characteristic, complemented
23#22620778C211yesmaximal, characteristic, complemented
24#22620068C211yesmaximal, characteristic, complemented
25#22620020C211yesmaximal, characteristic, complemented
26#22619236C211yesmaximal, characteristic, complemented
27#22619234C211yesmaximal, characteristic, complemented
28#22619195C211yesmaximal, characteristic, complemented
29#22619194C211yesmaximal, characteristic, complemented
30#22618999C211yesmaximal, characteristic, complemented
31C73×#3264C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic, complemented
33C2×#14556636C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556617C2211yescharacteristic, complemented
36C2×#14556615C2211yescharacteristic, complemented
37C2×#14556612C2211yescharacteristic, complemented
38C2×#14556611C2211yescharacteristic, complemented
39C2×D8×D73C2211yescharacteristic, complemented
40#17989327—21no—
41#17989326—21no—
42#17989308C2211yescharacteristic, complemented
43#17989287C2211yescharacteristic, complemented
44#17989283C2211yescharacteristic, complemented
45#17989256C2211yescharacteristic, complemented
46#17989255—21no—
47#17989242C2211yescharacteristic, complemented
48#17989241C2211yescharacteristic, complemented
49#17989237—21no—
50#17989237C2211yescharacteristic, complemented
51#17989234C2211yescharacteristic
52#17989234C2211yescharacteristic, complemented
53#17989231C2211yescharacteristic
54#17989231C2211yescharacteristic, complemented
55#17989230C2211yescharacteristic, complemented
56#17989227—21no—
57#17989224—21no—
58#17989224—21no—
59#17989222C2211yescharacteristic, complemented
60D4×C22⋊D73—21no—
61D4×C22⋊D73C2211yescharacteristic, complemented
62#17989205—21no—
63#17989175—21no—
64#17989169—21no—
65#17989167C2211yescharacteristic, complemented
66#17989166C2211yescharacteristic, complemented
67#17989166C2211yescharacteristic, complemented
68#17989165C2211yescharacteristic, complemented
69#17989154C2211yescharacteristic, complemented
70#17989153C2211yescharacteristic, complemented
71#17989152—21no—
72#17989147—21no—
73#17989147—21no—
74#17989135C2211yescharacteristic, complemented
75#17989134C2211yescharacteristic
76#17989134C2211yescharacteristic, complemented
77#17989116C2211yescharacteristic, complemented
78C2×#14556562—21no—
79#121×D73—21no—
80C4×D4×D73C2211yescharacteristic, complemented
81#17988982C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic, complemented
83#17988975C2211yescharacteristic, complemented
84#17988956C2211yescharacteristic, complemented
85#17988951C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988931C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988918C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988908C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988904C2211yescharacteristic, complemented
98#17988903C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988888C2211yescharacteristic, complemented
101#17988887C2211yescharacteristic, complemented
102#17988876C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988844C2211yescharacteristic, complemented
105#17988843C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic, complemented
107#17988837C2211yescharacteristic, complemented
108#17988837C2211yescharacteristic, complemented
109#17988833C2211yescharacteristic, complemented
110#17988832C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988820C2211yescharacteristic, complemented
113#17988816C2211yescharacteristic, complemented
114#17988815C2211yescharacteristic, complemented
115#17988815C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988807C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988800C2211yescharacteristic, complemented
121#17988800C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic, complemented
123#17988793C2211yescharacteristic, complemented
124#17988792C2211yescharacteristic, complemented
125#17988781C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988779C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988749C2211yescharacteristic, complemented
130#17988747C2211yescharacteristic, complemented
131#17988746C2211yescharacteristic, complemented
132#17988746C2211yescharacteristic, complemented
133#17988746C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic, complemented
135#17988738C2211yescharacteristic, complemented
136#17988736C2211yescharacteristic, complemented
137#17988736C2211yescharacteristic, complemented
138#17988734C2211yescharacteristic, complemented
139#17988734C2211yescharacteristic, complemented
140#17988733C2211yescharacteristic, complemented
141#17988733C2211yescharacteristic, complemented
142#17988731C2211yescharacteristic, complemented
143#17988730C2211yescharacteristic, complemented
144#17988729C2211yescharacteristic, complemented
145#17988729C2211yescharacteristic, complemented
146#17988729C2211yescharacteristic, complemented
147#17988729C2211yescharacteristic, complemented
148#17988729C2211yescharacteristic, complemented
149#17988729C2211yescharacteristic, complemented
150#17988729C2211yescharacteristic, complemented
151#17988722C2211yescharacteristic, complemented
152#17988721C2211yescharacteristic, complemented
153#17988721C2211yescharacteristic, 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#17988697C2211yescharacteristic, complemented
164#17988696C2211yescharacteristic, complemented
165#17988690C2211yescharacteristic, complemented
166#17988688C2211yescharacteristic, 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#17988592C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic, complemented
178#17988589C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180#17988584C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182C2×#14556512C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988553C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#17988552C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C22×D8×C73C2211yescharacteristic, complemented
190#546×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic, complemented
192#496×C73C2211yescharacteristic, complemented
193#469×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203#14556636—42no—
204#14556636—42no—
205#14556636—42no—
206#14556636—42no—
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924027—21no—
214C2×#11924027—21no—
215C2×#11924027—21no—
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C2×#11924027C2311yescharacteristic
219C2×#11924027C2311yescharacteristic
220C22×C22⋊D73—21no—
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C22×C22⋊D73—21no—
224C22×C22⋊D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C22×C4×D73—21no—
233#14556618—42no—
234#14556617—42no—
235#14556615—42no—
236#14556612—42no—
237#14556611—42no—
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924017C2311yescharacteristic
241C2×#11924017C2311yescharacteristic
242C2×#11924016C2311yescharacteristic
243C2×#11924016C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924016C2311yescharacteristic
246C2×#11924015C2311yescharacteristic
247C2×D584C2311yescharacteristic
248C2×#11924013C2311yescharacteristic
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924013C2311yescharacteristic
253D8×D73—42no—
254C2×#11924012C2311yescharacteristic
255C2×#11924011C2311yescharacteristic
256C2×#11924011C2311yescharacteristic
257C22×#10596831C2311yescharacteristic
258C2×C8×D73C2311yescharacteristic
259C2×C8×D73C2311yescharacteristic
260#14556591C2311yescharacteristic
261#14556590D411yescharacteristic
262#14556590C2311yescharacteristic
263#14556587—21no—
264#14556587—21no—
265#14556587—21no—
266#14556587D411yescharacteristic
267#14556587C2311yescharacteristic
268#14556586—21no—
269#14556586—21no—
270#14556584—21no—
271#14556584—21no—
272#14556584—21no—
273#14556583C2311yescharacteristic
274#14556578—21no—
275#14556578C2311yescharacteristic
276#14556578C2311yescharacteristic
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577D411yescharacteristic
281#14556577D411yescharacteristic
282#14556575—21no—
283#14556575—21no—
284#14556574—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556572—21no—
294#14556572—21no—
295#14556572—21no—
296#14556571C2311yescharacteristic
297#14556571C2311yescharacteristic
298#14556570—21no—
299#14556570C2311yescharacteristic
300#14556570C2311yescharacteristic
301#14556569—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556567C2311yescharacteristic
306#14556567C2311yescharacteristic
307#14556566—21no—
308#14556566D411yescharacteristic
309#14556566C2311yescharacteristic
310#14556565—21no—
311#14556565—21no—
312#14556565—21no—
313#14556565C2311yescharacteristic
314#14556565C2311yescharacteristic
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564D411yescharacteristic
323#14556564D411yescharacteristic
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556562—21no—
333#14556562—21no—
334#14556562—21no—
335#14556562—21no—
336#14556562—21no—
337#14556562—21no—
338#14556562—21no—
339#14556562—21no—
340#14556562—21no—
341#14556562D411yescharacteristic
342#14556562C2311yescharacteristic
343#14556562C2311yescharacteristic
344#14556562C2311yescharacteristic
345#14556562C2311yescharacteristic
346#14556562C2311yescharacteristic
347#14556562C2311yescharacteristic
348#14556562C2311yescharacteristic
349#14556561—21no—
350#14556561—21no—
351#14556560—21no—
352#14556560—21no—
353#14556560—21no—
354#14556560—21no—
355#14556560—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362Q8×Dic73C2311yescharacteristic
363#14556556—21no—
364C4×D292C2311yescharacteristic
365C4×D292C2311yescharacteristic
366C4×D292C2311yescharacteristic
367D4×Dic73—21no—
368D4×Dic73—21no—
369D4×Dic73C2311yescharacteristic
370D4×Dic73C2311yescharacteristic
371#14556553C2311yescharacteristic
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73—21no—
376C4×C22⋊D73C2311yescharacteristic
377C4×C22⋊D73C2311yescharacteristic
378#14556551—21no—
379#14556551—21no—
380#14556551—21no—
381#14556550C2311yescharacteristic
382#14556549C2311yescharacteristic
383#14556547—21no—
384C2×C4⋊Dic73—21no—
385C2×C4⋊Dic73C2311yescharacteristic
386C4⋊C4×D73—21no—
387C4⋊C4×D73C2311yescharacteristic
388C4⋊C4×D73C2311yescharacteristic
389C2×C22⋊Dic73—21no—
390C2×C22⋊Dic73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C42×D73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556502C2311yescharacteristic
443#14556501C2311yescharacteristic
444#14556501C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C22×D4×C73—21no—
447C22×D4×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450AGL(1,ℤ/8)×C73—42no—
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×D8×C73—42no—
455C2×D8×C73C2311yescharacteristic
456C2×D8×C73C2311yescharacteristic
457C2×D8×C73C2311yescharacteristic
458C2×D8×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C2×D8×C73C2311yescharacteristic
461C2×M16×C73C2311yescharacteristic
462C22×C8×C73C2311yescharacteristic
463#127×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466C22⋊Q8×C73C2311yescharacteristic
467#121×C73—21no—
468#121×C73—21no—
469#121×C73C2311yescharacteristic
470#121×C73C2311yescharacteristic
471#121×C73C2311yescharacteristic
472#120×C73—21no—
473#120×C73—21no—
474#120×C73—21no—
475C4×D4×C73C2311yescharacteristic
476C4×D4×C73C2311yescharacteristic
477C4×D4×C73C2311yescharacteristic
478C2×C22⋊C4×C73—21no—
479#106×C73C2311yescharacteristic
480C4⋊C8×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494#11924029—41no—
495#11924029—41no—
496#11924028—22no—
497#11924028—22no—
498#11924028—41no—
499#11924028—41no—
500#11924028—41no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—82no—
505#11924027—22no—
506#11924027—22no—
507#11924027—41no—
508#11924027—41no—
509#11924027—41no—
510#11924027—41no—
511#11924027—41no—
512#11924027—41no—
513#11924027—44no—
514#11924027—44no—
515#11924027—82no—
516C2×Dic146—21no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2×D411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521C2×D292—21no—
522C2×D292—21no—
523C2×D292C2×D411yescharacteristic
524C2×D292C2×D411yescharacteristic
525C2×D292C2×D411yescharacteristic
526C2×D292C2411yescharacteristic
527C2×D292C2411yescharacteristic
528C2×C22⋊D73—21no—
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⋊D73—82no—
554C2×C22⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558C2×C22⋊D73C2×D411yescharacteristic
559C2×C22⋊D73C2×D411yescharacteristic
560D4×D73—22no—
561D4×D73—22no—
562D4×D73—22no—
563D4×D73—22no—
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—41no—
567D4×D73—41no—
568D4×D73—44no—
569D4×D73—44no—
570D4×D73—82no—
571C22×Dic73—21no—
572C22×Dic73—21no—
573C22×Dic73—21no—
574C22×Dic73—21no—
575C22×Dic73—21no—
576C22×Dic73—21no—
577C22×Dic73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—82no—
587C2×C4×D73C2×D411yescharacteristic
588C2×C4×D73C2×D411yescharacteristic
589C2×C4×D73C2411yescharacteristic
590C2×C4×D73C2411yescharacteristic
591C2×C4×D73C2411yescharacteristic
592#11924018—41no—
593#11924018—41no—
594#11924017—41no—
595#11924017—41no—
596#11924016—41no—
597#11924016—41no—
598#11924016—41no—
599#11924016—41no—
600#11924015—22no—
601D584—22no—
602#11924013—22no—
603#11924013—22no—
604#11924013—22no—
605#11924013—41no—
606#11924013—41no—
607#11924012—41no—
608#11924011—41no—
609#11924011—41no—
610C2×#10596831—41no—
611C2×#10596831C2411yescharacteristic
612C2×#10596831C2411yescharacteristic
613C2×#10596831C2411yescharacteristic
614C2×#10596831C2411yescharacteristic
615C8×D73—41no—
616C8×D73—41no—
617C4⋊Dic73—21no—
618C4⋊Dic73—21no—
619C4⋊Dic73—21no—
620C4⋊Dic73—21no—
621C4⋊Dic73—21no—
622C4⋊Dic73—21no—
623C4⋊Dic73C2×D411yescharacteristic
624C4⋊Dic73C2411yescharacteristic
625C4⋊Dic73C2411yescharacteristic
626C4⋊Dic73C2411yescharacteristic
627C4⋊Dic73C2411yescharacteristic
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007C2×D411yescharacteristic
638#11924007C2×D411yescharacteristic
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73C2×D411yescharacteristic
656C22⋊Dic73C2×D411yescharacteristic
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005C2×D411yescharacteristic
669#11924005C2×D411yescharacteristic
670#11924005C2×D411yescharacteristic
671#11924005C2×D411yescharacteristic
672C4×Dic73—21no—
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73C2×D411yescharacteristic
676C4×Dic73C2×D411yescharacteristic
677C4×Dic73C2411yescharacteristic
678C24×C73—21no—
679C24×C73—21no—
680C24×C73—21no—
681#41×C73—41no—
682#41×C73—41no—
683C2×Q8×C73C2411yescharacteristic
684C2×D4×C73—22no—
685C2×D4×C73—22no—
686C2×D4×C73—21no—
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—41no—
696C2×D4×C73—41no—
697C2×D4×C73—41no—
698C2×D4×C73—41no—
699C2×D4×C73—82no—
700C2×D4×C73C2×D411yescharacteristic
701C2×D4×C73C2411yescharacteristic
702C2×D4×C73C2411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C2×D4×C73C2411yescharacteristic
705C2×D4×C73C2411yescharacteristic
706C22×C4×C73—21no—
707C22×C4×C73—21no—
708C22×C4×C73—21no—
709C22×C4×C73C2411yescharacteristic
710C22×C4×C73C2411yescharacteristic
711SD16×C73—22no—
712SD16×C73—41no—
713SD16×C73—41no—
714D8×C73—22no—
715D8×C73—22no—
716D8×C73—41no—
717D8×C73—41no—
718D8×C73—41no—
719D8×C73—41no—
720M16×C73—41no—
721C2×C8×C73—41no—
722C2×C8×C73C2411yescharacteristic
723C2×C8×C73C2411yescharacteristic
724C2×C8×C73C2411yescharacteristic
725C2×C8×C73C2411yescharacteristic
726C4⋊C4×C73—21no—
727C4⋊C4×C73C2×D411yescharacteristic
728C4⋊C4×C73C2411yescharacteristic
729C4⋊C4×C73C2411yescharacteristic
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73C2×D411yescharacteristic
739C22⋊C4×C73C2×D411yescharacteristic
740C42×C73C2411yescharacteristic
741C23×C73—21no—
742C23×C73—21no—
743C23×C73—21no—
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—42no—
747C23×C73—42no—
748C23×C73—81no—
749C23×C73—81no—
750C23×C73—81no—
751C23×C73—81no—
752C23×C73—81no—
753C23×C73—81no—
754C23×C73—81no—
755C23×C73C22×D411yescharacteristic
756C23×C73C22×D411yescharacteristic
757C22×D73—21no—
758C22×D73—24no—
759C22×D73—21no—
760C22×D73—42no—
761C22×D73—42no—
762C22×D73—81no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73—81no—
766C22×D73—81no—
767C22×D73—81no—
768C22×D73—81no—
769C22×D73—81no—
770C22×D73—81no—
771C22×D73C22×D411yescharacteristic
772C22×D73C22×D411yescharacteristic
773C22×D73C22×D411yescharacteristic
774Q8×C73—21no—
775Q8×C73—21no—
776D4×C73—21no—
777D4×C73—21no—
778D4×C73—21no—
779D4×C73—21no—
780D4×C73—21no—
781D4×C73—21no—
782D4×C73—21no—
783D4×C73—21no—
784D4×C73—21no—
785D4×C73—41no—
786D4×C73—42no—
787D4×C73—42no—
788D4×C73—42no—
789D4×C73—81no—
790D4×C73—81no—
791D4×C73—81no—
792D4×C73—81no—
793D4×C73—81no—
794D4×C73—81no—
795D4×C73H(5,𝔽2)12yes—
796C2×C4×C73—21no—
797C2×C4×C73—21no—
798C2×C4×C73—21no—
799C2×C4×C73—21no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—42no—
804C2×C4×C73—81no—
805C2×C4×C73—81no—
806C2×C4×C73C22×D411yescharacteristic
807C2×C4×C73C22×D411yescharacteristic
808C2×C4×C73C22×D411yescharacteristic
809C2×C4×C73C22×D411yescharacteristic
810C2×C4×C73C2511yescharacteristic
811C22⋊D73—24no—
812C22⋊D73—41no—
813C22⋊D73—41no—
814C22⋊D73—41no—
815C22⋊D73—41no—
816C22⋊D73—41no—
817C22⋊D73—41no—
818C22⋊D73—42no—
819C22⋊D73—42no—
820C22⋊D73—42no—
821C22⋊D73—42no—
822C22⋊D73—42no—
823C22⋊D73—42no—
824C22⋊D73—42no—
825C22⋊D73—42no—
826C22⋊D73—42no—
827C22⋊D73—81no—
828C22⋊D73—81no—
829C22⋊D73—81no—
830C22⋊D73—81no—
831C22⋊D73—81no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C22⋊D73—81no—
838C2×Dic73—21no—
839C2×Dic73—21no—
840C2×Dic73—21no—
841C2×Dic73—21no—
842C2×Dic73—21no—
843C2×Dic73—21no—
844C2×Dic73—42no—
845C2×Dic73—42no—
846C2×Dic73—42no—
847C2×Dic73—42no—
848C2×Dic73—42no—
849C2×Dic73—81no—
850C2×Dic73—81no—
851C2×Dic73C22×D411yescharacteristic
852C2×Dic73C22×D411yescharacteristic
853C2×Dic73C22×D411yescharacteristic
854C2×Dic73C22×D411yescharacteristic
855C2×Dic73C22×D411yescharacteristic
856D292—21no—
857D292—21no—
858D292—21no—
859D292—41no—
860D292—41no—
861D292—41no—
862D292—81no—
863D292—81no—
864D292H(5,𝔽2)12yes—
865C4×D73—21no—
866C4×D73—21no—
867C4×D73—21no—
868C4×D73—21no—
869C4×D73—21no—
870C4×D73—21no—
871C4×D73—41no—
872C4×D73—41no—
873C4×D73—42no—
874C4×D73—42no—
875C4×D73—42no—
876C4×D73—81no—
877C4×D73—81no—
878C4×D73—81no—
879C4×D73—81no—
880C4×D73—81no—
881Dic146—21no—
882Dic146—21no—
883Dic146—21no—
884Dic146—21no—
885Dic146—41no—
886Dic146—41no—
887Dic146—42no—
888C8×C73—21no—
889C8×C73—21no—
890C8×C73—21no—
891C8×C73—21no—
892#10596831—21no—
893#10596831—21no—
894#10596831—21no—
895#10596831—21no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—21no—
899C22×C73—21no—
900C22×C73—22no—
901C22×C73—21no—
902C22×C73—21no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—41no—
906C22×C73—41no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—41no—
912C22×C73—41no—
913C22×C73—41no—
914C22×C73—41no—
915C22×C73—41no—
916C22×C73—41no—
917C22×C73—162no—
918C22×C73—162no—
919C22×C73—162no—
920C22×C73C23×D411yescharacteristic
921C2×D73—21no—
922C2×D73—21no—
923C2×D73—21no—
924C2×D73—21no—
925C2×D73—21no—
926C2×D73—21no—
927C2×D73—21no—
928C2×D73—21no—
929C2×D73—21no—
930C2×D73—22no—
931C2×D73—41no—
932C2×D73—41no—
933C2×D73—41no—
934C2×D73—41no—
935C2×D73—41no—
936C2×D73—84no—
937C2×D73—162no—
938C2×D73—162no—
939C2×D73—162no—
940C4×C73—21no—
941C4×C73—21no—
942C4×C73—21no—
943C4×C73—21no—
944C4×C73—41no—
945C4×C73—41no—
946C4×C73—41no—
947C4×C73C2×H(5,𝔽2)11yescharacteristic
948C4×C73C2×H(5,𝔽2)11yescharacteristic
949Dic73—21no—
950Dic73—21no—
951Dic73—21no—
952Dic73—21no—
953Dic73—21no—
954Dic73—41no—
955Dic73—41no—
956Dic73—41no—
957Dic73—41no—
958Dic73—41no—
959Dic73—41no—
960#61669—731nomaximal, Sylow
961C2×C73—42no—
962C2×C73—41no—
963C2×C73—41no—
964C2×C73—81no—
965C2×C73—81no—
966C2×C73—81no—
967C2×C73—81no—
968C2×C73#348411yescharacteristic
969C2×C73#358511yescharacteristic
970C2×C73#358511yescharacteristic
971D73—41no—
972D73—41no—
973D73—41no—
974D73—42no—
975D73—81no—
976#3546—731no—
977#3496—731no—
978#3318—731no—
979#3318—731no—
980#3311—731no—
981#3311—731no—
982#3307—731no—
983#3307—731no—
984#3306—731no—
985#3306—731no—
986#3268—731no—
987#3268—731no—
988#3267—731no—
989#3267—731no—
990#3264—731no—
991#3264—731no—
992#3264—731no—
993#3264D7311yescharacteristic, complemented
994#3219—731no—
995#3214—731no—
996#3204—731no—
997#3204—731no—
998#3198—731no—
999#3198—731no—
1000#3114—731no—
1001#3109—731no—
1002#3012—731no—
1003#3012—731no—
1004#3008—731no—
1005#3008—731no—
1006#2980—731no—
1007C73#6166911yescharacteristic, complemented, Sylow
1008C2×H(5,𝔽2)—731no—
1009C2×H(5,𝔽2)—731no—
1010C2×AGL(1,ℤ/8)—731no—
1011C2×AGL(1,ℤ/8)—731no—
1012C2×AGL(1,ℤ/8)—731no—
1013C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
1014C2×#135—731no—
1015C2×#135—731no—
1016C22×D8—731no—
1017C22×D8C2×D7311yescharacteristic, complemented
1018#560—1461no—
1019#560—1461no—
1020#556—731no—
1021#553—731no—
1022#553—731no—
1023#550—731no—
1024#550—1461no—
1025#547—731no—
1026#547—731no—
1027#547—731no—
1028#547—1461no—
1029#546—731no—
1030#546—731no—
1031#546—731no—
1032#546—731no—
1033#546—731no—
1034#546—1461no—
1035#546—1461no—
1036#546—1461no—
1037#546C2×D7311yescharacteristic, complemented
1038D42—731no—
1039D42—731no—
1040D42—1461no—
1041D42C2×D7311yescharacteristic, complemented
1042#542—1461no—
1043#538—1461no—
1044#538—1461no—
1045#537—731no—
1046#537—731no—
1047#537—731no—
1048#537—731no—
1049#535—731no—
1050#535—731no—
1051#535—1461no—
1052#534—1461no—
1053#534—1461no—
1054#532—731no—
1055#532—731no—
1056#532—731no—
1057#529—731no—
1058C2×#121—1461no—
1059C2×#121—1461no—
1060C2×C4×D4—731no—
1061#497—731no—
1062#496—731no—
1063#496—731no—
1064#496C2×D7311yescharacteristic, complemented
1065#491—731no—
1066#490—731no—
1067#489—731no—
1068#489—731no—
1069#485—731no—
1070#485—731no—
1071#483—731no—
1072#483—731no—
1073#483—731no—
1074#482—731no—
1075#482—731no—
1076#481—731no—
1077#481—731no—
1078#481—731no—
1079#481—731no—
1080#480—731no—
1081#478—731no—
1082#478—731no—
1083#476—731no—
1084#476—731no—
1085#470—731no—
1086#470—731no—
1087#469—731no—
1088#469—731no—
1089#469—731no—
1090#469C2×D7311yescharacteristic, complemented
1091#468—731no—
1092#468—731no—
1093#466—731no—
1094#466—731no—
1095#465—731no—
1096#465—731no—
1097#465—731no—
1098#465—731no—
1099#465—731no—
1100#465C2×D7311yescharacteristic, complemented
1101#464—731no—
1102#464—731no—
1103#463—731no—
1104#463—731no—
1105#463—731no—
1106#463C2×D7311yescharacteristic, complemented
1107#461—731no—
1108#461—731no—
1109#459—731no—
1110#459—731no—
1111#459—731no—
1112#459C2×D7311yescharacteristic, complemented
1113#452—731no—
1114#452—731no—
1115#452—731no—
1116#452—731no—
1117#452—731no—
1118#452—731no—
1119#450—731no—
1120#450—731no—
1121#450—731no—
1122#450—731no—
1123#450C2×D7311yescharacteristic, complemented
1124#449—731no—
1125#449—731no—
1126#449—731no—
1127#449—731no—
1128#449—731no—
1129#449—731no—
1130#449—731no—
1131#449—731no—
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#449—731no—
1137#449C2×D7311yescharacteristic, complemented
1138#447—731no—
1139#447—731no—
1140#447—731no—
1141#447—731no—
1142#447—731no—
1143#447—731no—
1144#447—731no—
1145#447—731no—
1146#447—731no—
1147#447C2×D7311yescharacteristic, complemented
1148#447C2×D7311yescharacteristic, complemented
1149#442—731no—
1150#442—731no—
1151#442—731no—
1152#442—731no—
1153#442—731no—
1154#442C2×D7311yescharacteristic, complemented
1155#440—731no—
1156#440—731no—
1157#435—731no—
1158#435—731no—
1159#435—731no—
1160#435—731no—
1161#435—731no—
1162#435—731no—
1163#435—731no—
1164#435C2×D7311yescharacteristic, complemented
1165#432—731no—
1166#432—731no—
1167#418—731no—
1168#418—731no—
1169#417—731no—
1170#417—731no—
1171#416—731no—
1172#416—731no—
1173C2×#102—731no—
1174C2×#102—731no—
1175#408—731no—
1176#408—731no—
1177#408—731no—
1178#408—731no—
1179H(5,𝔽2)—2922no—
1180H(5,𝔽2)—2922no—
1181H(5,𝔽2)—2922no—
1182H(5,𝔽2)—2922no—
1183C2×#41—731no—
1184C2×#41—731no—
1185C2×#41—731no—
1186C2×#41—731no—
1187C2×#41—731no—
1188C2×#41—731no—
1189C2×#41—731no—
1190C2×#41—731no—
1191C2×#41—731no—
1192C2×#41—1461no—
1193C2×#41—1461no—
1194C2×#41—1461no—
1195C2×#41—1461no—
1196C2×#41C22×D7311yescharacteristic
1197C22×D4—21no—
1198C22×D4—731no—
1199C22×D4—731no—
1200C22×D4—731no—
1201C22×D4—731no—
1202C22×D4—1461no—
1203C22×D4—1461no—
1204C22×D4—1461no—
1205C22×D4—1461no—
1206C22×D4—1461no—
1207C22×D4—1461no—
1208C22×D4—1461no—
1209C22×D4—1461no—
1210C22×D4C22×D7311yescharacteristic
1211C22×D4C22×D7311yescharacteristic
1212C22×D4C22×D7311yescharacteristic
1213C23×C4—1461no—
1214AGL(1,ℤ/8)—42no—
1215AGL(1,ℤ/8)—2922no—
1216AGL(1,ℤ/8)—2922no—
1217AGL(1,ℤ/8)—2922no—
1218#135—2922no—
1219#135—2922no—
1220C2×Q16—731no—
1221C2×Q16—731no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16—731no—
1227C2×SD16—731no—
1228C2×SD16—731no—
1229C2×SD16C22×D7311yescharacteristic
1230C2×SD16C22×D7311yescharacteristic
1231C2×SD16C22×D7311yescharacteristic
1232C2×D8—42no—
1233C2×D8—2922no—
1234C2×D8—731no—
1235C2×D8—731no—
1236C2×D8—731no—
1237C2×D8—731no—
1238C2×D8—731no—
1239C2×D8—731no—
1240C2×D8C22×D7311yescharacteristic
1241C2×D8C22×D7311yescharacteristic
1242C2×D8C22×D7311yescharacteristic
1243C2×D8C22×D7311yescharacteristic
1244C2×D8C22×D7311yescharacteristic
1245C2×D8C22×D7311yescharacteristic
1246C2×M16—731no—
1247C2×M16—731no—
1248C2×M16—731no—
1249C2×M16C22×D7311yescharacteristic
1250C22×C8—731no—
1251C22×C8—731no—
1252C22×C8—731no—
1253C22×C8C22×D7311yescharacteristic
1254C4⋊Q8—731no—
1255C4⋊Q8—731no—
1256C4⋊Q8—731no—
1257#127—731no—
1258#127—731no—
1259#127—1461no—
1260#127—1461no—
1261#127—1461no—
1262#127C22×D7311yescharacteristic
1263#126—1461no—
1264#126—1461no—
1265#126—1461no—
1266#126—1461no—
1267#126—1461no—
1268#125—731no—
1269#124—731no—
1270#124—731no—
1271#124—731no—
1272#124—731no—
1273#124—1461no—
1274#124—1461no—
1275#124—1461no—
1276#124—1461no—
1277#124C22×D7311yescharacteristic
1278#123—21no—
1279#123—1461no—
1280#123—1461no—
1281#123—1461no—
1282#123—1461no—
1283#123—1461no—
1284#123—1461no—
1285#123—1461no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290#123—1461no—
1291#123—1461no—
1292#123—1461no—
1293C22⋊Q8—731no—
1294C22⋊Q8—731no—
1295C22⋊Q8—731no—
1296C22⋊Q8—731no—
1297C22⋊Q8—731no—
1298C22⋊Q8—731no—
1299C22⋊Q8—1461no—
1300C22⋊Q8—1461no—
1301C22⋊Q8—1461no—
1302C22⋊Q8—1461no—
1303C22⋊Q8—1461no—
1304C22⋊Q8C22×D7311yescharacteristic
1305#121—21no—
1306#121—21no—
1307#121—731no—
1308#121—731no—
1309#121—731no—
1310#121—731no—
1311#121—731no—
1312#121—731no—
1313#121—731no—
1314#121—731no—
1315#121—731no—
1316#121—731no—
1317#121—731no—
1318#121—731no—
1319#121—731no—
1320#121—731no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121—1461no—
1348#121—1461no—
1349#121C22×D7311yescharacteristic
1350#121C22×D7311yescharacteristic
1351#121C22×D7311yescharacteristic
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—1461no—
1356#120—1461no—
1357#120—1461no—
1358#120—1461no—
1359#120—1461no—
1360#120—1461no—
1361#120—1461no—
1362#120—1461no—
1363#120—1461no—
1364#120—1461no—
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368C4×Q8—731no—
1369C4×Q8—1461no—
1370C4×D4—731no—
1371C4×D4—731no—
1372C4×D4—731no—
1373C4×D4—731no—
1374C4×D4—731no—
1375C4×D4—731no—
1376C4×D4—731no—
1377C4×D4—731no—
1378C4×D4—1461no—
1379C4×D4—1461no—
1380C4×D4—1461no—
1381C4×D4—1461no—
1382C4×D4—1461no—
1383C4×D4—1461no—
1384C4×D4—1461no—
1385C4×D4—1461no—
1386C4×D4—1461no—
1387C4×D4C22×D7311yescharacteristic
1388C4×D4C22×D7311yescharacteristic
1389C4×D4C22×D7311yescharacteristic
1390#117—731no—
1391#117—731no—
1392#117—1461no—
1393C2×C4⋊C4—731no—
1394C2×C4⋊C4—731no—
1395C2×C4⋊C4—731no—
1396C2×C4⋊C4—1461no—
1397C2×C4⋊C4—1461no—
1398C2×C22⋊C4—21no—
1399C2×C22⋊C4—1461no—
1400C2×C22⋊C4—1461no—
1401C2×C22⋊C4—1461no—
1402C2×C22⋊C4—1461no—
1403C2×C22⋊C4—1461no—
1404C2×C22⋊C4—1461no—
1405C2×C42—731no—
1406#107—731no—
1407#107—731no—
1408#106—731no—
1409#106—731no—
1410#106—731no—
1411#106—731no—
1412#106—731no—
1413#106C22×D7311yescharacteristic
1414C4⋊C8—731no—
1415C4⋊C8—731no—
1416C4⋊C8—731no—
1417C4⋊C8C22×D7311yescharacteristic
1418#103—731no—
1419#103—731no—
1420#103—731no—
1421#103—731no—
1422#103—731no—
1423#103—731no—
1424#103—731no—
1425#103—731no—
1426#103—731no—
1427#103C22×D7311yescharacteristic
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102—731no—
1438#102—731no—
1439#102—731no—
1440#102—731no—
1441#102—731no—
1442#102—731no—
1443#102—731no—
1444#102—731no—
1445#102C22×D7311yescharacteristic
1446#102C22×D7311yescharacteristic
1447#102C22×D7311yescharacteristic
1448#102C22×D7311yescharacteristic
1449#102C22×D7311yescharacteristic
1450C22⋊C8—731no—
1451C22⋊C8—731no—
1452C22⋊C8—731no—
1453C22⋊C8—731no—
1454C22⋊C8—731no—
1455C22⋊C8—731no—
1456C22⋊C8—731no—
1457C22⋊C8—731no—
1458C22⋊C8—731no—
1459C22⋊C8—731no—
1460C22⋊C8C22×D7311yescharacteristic
1461C22⋊C8C22×D7311yescharacteristic
1462#97—731no—
1463#97—731no—
1464#97—731no—
1465#97C22×D7311yescharacteristic
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—1461no—
1470C24—1461no—
1471C24—1461no—
1472C24—1461no—
1473#41—41no—
1474#41—41no—
1475#41—2921no—
1476#41—2921no—
1477#41—2921no—
1478#41—2921no—
1479#41—2921no—
1480#41—2921no—
1481#41—2924no—
1482#41—2924no—
1483#41—2921no—
1484#41—2921no—
1485#41—2921no—
1486#41—2921no—
1487#41—2921no—
1488#41—2921no—
1489#41—2921no—
1490#41—2921no—
1491#41—5842no—
1492#41—5842no—
1493#41—1462no—
1494#41—1462no—
1495#41—1462no—
1496#41—1462no—
1497C2×Q8—731no—
1498C2×Q8—731no—
1499C2×Q8—731no—
1500C2×Q8—731no—
1501C2×Q8—1461no—
1502C2×Q8C23×D7311yescharacteristic
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—41no—
1515C2×D4—41no—
1516C2×D4—41no—
1517C2×D4—41no—
1518C2×D4—82no—
1519C2×D4—2924no—
1520C2×D4—2924no—
1521C2×D4—2924no—
1522C2×D4—2924no—
1523C2×D4—2924no—
1524C2×D4—2924no—
1525C2×D4—2921no—
1526C2×D4—2921no—
1527C2×D4—2921no—
1528C2×D4—2921no—
1529C2×D4—5842no—
1530C2×D4—5842no—
1531C2×D4—731no—
1532C2×D4—731no—
1533C2×D4—731no—
1534C2×D4—731no—
1535C2×D4—731no—
1536C2×D4—731no—
1537C2×D4—731no—
1538C2×D4—731no—
1539C2×D4—731no—
1540C2×D4—731no—
1541C2×D4—731no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4—1461no—
1547C2×D4—1461no—
1548C2×D4—1461no—
1549C2×D4—1461no—
1550C2×D4—1462no—
1551C2×D4—1462no—
1552C2×D4—1462no—
1553C2×D4—1461no—
1554C2×D4—1461no—
1555C2×D4—1461no—
1556C2×D4—1461no—
1557C2×D4—1461no—
1558C2×D4—1461no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1461no—
1563C2×D4—1461no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4—1461no—
1567C2×D4—1461no—
1568C2×D4—1462no—
1569C2×D4D4×D7311yescharacteristic
1570C2×D4C23×D7311yescharacteristic
1571C2×D4C23×D7311yescharacteristic
1572C2×D4C23×D7311yescharacteristic
1573C2×D4C23×D7311yescharacteristic
1574C2×D4C23×D7311yescharacteristic
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—5842no—
1579C22×C4—731no—
1580C22×C4—731no—
1581C22×C4—731no—
1582C22×C4—731no—
1583C22×C4—731no—
1584C22×C4—1461no—
1585C22×C4—1461no—
1586C22×C4—1461no—
1587C22×C4—1461no—
1588C22×C4—1461no—
1589C22×C4—1461no—
1590C22×C4—1461no—
1591C22×C4—1461no—
1592C22×C4—1461no—
1593C22×C4—1461no—
1594C22×C4—1461no—
1595C22×C4—1461no—
1596C22×C4—1461no—
1597C22×C4—1461no—
1598C22×C4—1461no—
1599C22×C4C23×D7311yescharacteristic
1600C22×C4C23×D7311yescharacteristic
1601Q16—2921no—
1602Q16—2921no—
1603SD16—22no—
1604SD16—41no—
1605SD16—41no—
1606SD16—2921no—
1607SD16—2921no—
1608SD16—2921no—
1609SD16—2921no—
1610SD16—2921no—
1611SD16—2921no—
1612SD16—1462no—
1613D8—22no—
1614D8—22no—
1615D8—41no—
1616D8—41no—
1617D8—41no—
1618D8—41no—
1619D8—2921no—
1620D8—2921no—
1621D8—1462no—
1622D8—1462no—
1623D8—1462no—
1624D8—1462no—
1625M16—41no—
1626M16—2921no—
1627M16—2921no—
1628M16—2921no—
1629C2×C8—41no—
1630C2×C8—2921no—
1631C2×C8—2921no—
1632C2×C8—2921no—
1633C2×C8—731no—
1634C2×C8—731no—
1635C2×C8—731no—
1636C2×C8—731no—
1637C2×C8C23×D7311yescharacteristic
1638C2×C8C23×D7311yescharacteristic
1639C2×C8C23×D7311yescharacteristic
1640C2×C8C23×D7311yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—731no—
1643C4⋊C4—731no—
1644C4⋊C4—731no—
1645C4⋊C4—731no—
1646C4⋊C4—731no—
1647C4⋊C4—731no—
1648C4⋊C4—731no—
1649C4⋊C4—1461no—
1650C4⋊C4—1461no—
1651C4⋊C4—1461no—
1652C4⋊C4—1461no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4—1461no—
1658C4⋊C4—1461no—
1659C4⋊C4—1461no—
1660C4⋊C4—1461no—
1661C4⋊C4—1461no—
1662C4⋊C4—1461no—
1663C4⋊C4—1461no—
1664C4⋊C4D4×D7311yescharacteristic
1665C4⋊C4C23×D7311yescharacteristic
1666C4⋊C4C23×D7311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—731no—
1676C22⋊C4—731no—
1677C22⋊C4—731no—
1678C22⋊C4—731no—
1679C22⋊C4—731no—
1680C22⋊C4—731no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4D4×D7311yescharacteristic
1709C22⋊C4D4×D7311yescharacteristic
1710C42—731no—
1711C42—731no—
1712C42—731no—
1713C42—1461no—
1714C42—1461no—
1715C42—1461no—
1716C42C23×D7311yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—42no—
1723C23—42no—
1724C23—81no—
1725C23—81no—
1726C23—81no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—81no—
1731C23—2922no—
1732C23—2922no—
1733C23—5841no—
1734C23—5841no—
1735C23—5841no—
1736C23—5841no—
1737C23—5841no—
1738C23—5841no—
1739C23—5841no—
1740C23—5841no—
1741C23—5841no—
1742C23—731no—
1743C23—731no—
1744C23—731no—
1745C23—1464no—
1746C23—1461no—
1747C23—1461no—
1748C23C2×D4×D7311yescharacteristic
1749C23C2×D4×D7311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—2921no—
1753Q8—2921no—
1754Q8—2922no—
1755Q8—1461no—
1756Q8—1461no—
1757Q8—1461no—
1758Q8—1461no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—41no—
1769D4—42no—
1770D4—42no—
1771D4—42no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—2921no—
1779D4—2921no—
1780D4—2921no—
1781D4—2922no—
1782D4—2922no—
1783D4—2922no—
1784D4—2922no—
1785D4—2922no—
1786D4—2922no—
1787D4—2921no—
1788D4—2921no—
1789D4—2921no—
1790D4—2921no—
1791D4—2921no—
1792D4—2921no—
1793D4—2922no—
1794D4—2922no—
1795D4—2922no—
1796D4—5841no—
1797D4—5841no—
1798D4—5841no—
1799D4—5841no—
1800D4—5841no—
1801D4—5841no—
1802D4—5841no—
1803D4—5841no—
1804D4—5841no—
1805D4—5841no—
1806D4—5841no—
1807D4—5841no—
1808D4—5841no—
1809D4—732no—
1810D4—1464no—
1811D4—1461no—
1812D4—1461no—
1813D4—1461no—
1814D4#1455663612yes—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—42no—
1823C2×C4—81no—
1824C2×C4—81no—
1825C2×C4—2922no—
1826C2×C4—2922no—
1827C2×C4—2922no—
1828C2×C4—2921no—
1829C2×C4—2921no—
1830C2×C4—2922no—
1831C2×C4—2922no—
1832C2×C4—2922no—
1833C2×C4—2922no—
1834C2×C4—2922no—
1835C2×C4—5841no—
1836C2×C4—5841no—
1837C2×C4—5841no—
1838C2×C4—5841no—
1839C2×C4—5841no—
1840C2×C4—5841no—
1841C2×C4—5841no—
1842C2×C4—731no—
1843C2×C4—731no—
1844C2×C4—731no—
1845C2×C4—731no—
1846C2×C4—731no—
1847C2×C4—1461no—
1848C2×C4—1461no—
1849C2×C4—1461no—
1850C2×C4—1461no—
1851C2×C4—1461no—
1852C2×C4—1461no—
1853C2×C4—1461no—
1854C2×C4—1461no—
1855C2×C4—1461no—
1856C2×C4—1461no—
1857C2×C4—1461no—
1858C2×C4—1461no—
1859C2×C4C2×D4×D7311yescharacteristic
1860C2×C4C2×D4×D7311yescharacteristic
1861C2×C4C2×D4×D7311yescharacteristic
1862C2×C4C2×D4×D7311yescharacteristic
1863C2×C4C24×D7311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1461no—
1869C8—1461no—
1870C8—1461no—
1871C8—1461no—
1872C22—21no—
1873C22—21no—
1874C22—22no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—162no—
1894C22—162no—
1895C22—162no—
1896C22—2921no—
1897C22—2921no—
1898C22—2921no—
1899C22—2921no—
1900C22—2921no—
1901C22—5844no—
1902C22—11682no—
1903C22—11682no—
1904C22—11682no—
1905C22—1462no—
1906C22—1461no—
1907C22—1461no—
1908C22—1461no—
1909C22—1461no—
1910C22—1461no—
1911C22—1461no—
1912C22—1461no—
1913C22—1461no—
1914C22—1461no—
1915C22C22×D4×D7311yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—2921no—
1924C4—2921no—
1925C4—2921no—
1926C4—2921no—
1927C4—2921no—
1928C4—2921no—
1929C4—1461no—
1930C4—1461no—
1931C4—1461no—
1932C4—1461no—
1933C4—1461no—
1934C4H(5,𝔽2)×D7311yescharacteristic
1935C4C2×#1455663611yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—2922no—
1944C2—2921no—
1945C2—2921no—
1946C2—2921no—
1947C2—5841no—
1948C2#2262355911yescharacteristic
1949C2#2262470611yescharacteristic
1950C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3264C2
socleC22×C73C23×D4
hypercenter#3264D73
hypocenterC73#61669
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #22624295C2semidirect
2. #22623687C2semidirect
3. #22622079C2semidirect
4. #22622072C2semidirect
5. #22621973C2semidirect
6. #22621960C2semidirect
7. #22621912C2semidirect
8. #22621909C2semidirect
9. #22621896C2semidirect
10. #22621887C2semidirect
11. #22621465C2semidirect
12. #22621464C2semidirect
13. #22621452C2semidirect
14. #22621451C2semidirect
15. #22621411C2semidirect
16. #22621410C2semidirect
17. #22621409C2semidirect
18. #22620963C2semidirect
19. #22620924C2semidirect
20. #22620840C2semidirect
21. #22620836C2semidirect
22. #22620779C2semidirect
23. #22620778C2semidirect
24. #22620068C2semidirect
25. #22620020C2semidirect
26. #22619236C2semidirect
27. #22619234C2semidirect
28. #22619195C2semidirect
29. #22619194C2semidirect
30. #22618999C2semidirect
31. C73×#3264C2semidirect
32. C2×#14556636C22semidirect
33. C2×#14556636C22semidirect
34. C2×#14556618C22semidirect
35. C2×#14556617C22semidirect
36. C2×#14556615C22semidirect
37. C2×#14556612C22semidirect
38. C2×#14556611C22semidirect
39. C2×D8×D73C22semidirect
42. #17989308C22semidirect
43. #17989287C22semidirect
44. #17989283C22semidirect
45. #17989256C22semidirect
47. #17989242C22semidirect
48. #17989241C22semidirect
50. #17989237C22semidirect
52. #17989234C22semidirect
54. #17989231C22semidirect
55. #17989230C22semidirect
59. #17989222C22semidirect
61. D4×C22⋊D73C22semidirect
65. #17989167C22semidirect
66. #17989166C22semidirect
67. #17989166C22semidirect
68. #17989165C22semidirect
69. #17989154C22semidirect
70. #17989153C22semidirect
74. #17989135C22semidirect
76. #17989134C22semidirect
77. #17989116C22semidirect
80. C4×D4×D73C22semidirect
81. #17988982C22semidirect
82. #17988975C22semidirect
83. #17988975C22semidirect
84. #17988956C22semidirect
85. #17988951C22semidirect
86. #17988945C22semidirect
87. #17988945C22semidirect
88. #17988931C22semidirect
89. #17988929C22semidirect
90. #17988919C22semidirect
91. #17988918C22semidirect
92. #17988916C22semidirect
93. #17988909C22semidirect
94. #17988908C22semidirect
95. #17988907C22semidirect
96. #17988904C22semidirect
97. #17988904C22semidirect
98. #17988903C22semidirect
99. #17988899C22semidirect
100. #17988888C22semidirect
101. #17988887C22semidirect
102. #17988876C22semidirect
103. #17988875C22semidirect
104. #17988844C22semidirect
105. #17988843C22semidirect
106. #17988838C22semidirect
107. #17988837C22semidirect
108. #17988837C22semidirect
109. #17988833C22semidirect
110. #17988832C22semidirect
111. #17988821C22semidirect
112. #17988820C22semidirect
113. #17988816C22semidirect
114. #17988815C22semidirect
115. #17988815C22semidirect
116. #17988814C22semidirect
117. #17988813C22semidirect
118. #17988807C22semidirect
119. #17988807C22semidirect
120. #17988800C22semidirect
121. #17988800C22semidirect
122. #17988799C22semidirect
123. #17988793C22semidirect
124. #17988792C22semidirect
125. #17988781C22semidirect
126. #17988780C22semidirect
127. #17988779C22semidirect
128. #17988752C22semidirect
129. #17988749C22semidirect
130. #17988747C22semidirect
131. #17988746C22semidirect
132. #17988746C22semidirect
133. #17988746C22semidirect
134. #17988739C22semidirect
135. #17988738C22semidirect
136. #17988736C22semidirect
137. #17988736C22semidirect
138. #17988734C22semidirect
139. #17988734C22semidirect
140. #17988733C22semidirect
141. #17988733C22semidirect
142. #17988731C22semidirect
143. #17988730C22semidirect
144. #17988729C22semidirect
145. #17988729C22semidirect
146. #17988729C22semidirect
147. #17988729C22semidirect
148. #17988729C22semidirect
149. #17988729C22semidirect
150. #17988729C22semidirect
151. #17988722C22semidirect
152. #17988721C22semidirect
153. #17988721C22semidirect
155. #17988719C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988719C22semidirect
159. #17988719C22semidirect
160. #17988700C22semidirect
161. #17988699C22semidirect
162. #17988697C22semidirect
163. #17988697C22semidirect
164. #17988696C22semidirect
165. #17988690C22semidirect
166. #17988688C22semidirect
167. #17988661C22semidirect
168. #17988660C22semidirect
169. #17988659C22semidirect
170. #17988658C22semidirect
171. #17988657C22semidirect
172. #17988656C22semidirect
173. #17988655C22semidirect
174. #17988643C22semidirect
175. #17988642C22semidirect
176. #17988592C22semidirect
177. #17988590C22semidirect
178. #17988589C22semidirect
179. #17988585C22semidirect
180. #17988584C22semidirect
181. #17988580C22semidirect
182. C2×#14556512C22semidirect
183. #102×D73C22semidirect
184. #17988555C22semidirect
185. #17988553C22semidirect
186. #17988552C22semidirect
187. #17988552C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C22×D8×C73C22semidirect
190. #546×C73C22semidirect
191. D42×C73C22semidirect
192. #496×C73C22semidirect
193. #469×C73C22semidirect
194. #465×C73C22semidirect
195. #463×C73C22semidirect
196. #459×C73C22semidirect
197. #450×C73C22semidirect
198. #449×C73C22semidirect
199. #447×C73C22semidirect
200. #447×C73C22semidirect
201. #442×C73C22semidirect
202. #435×C73C22semidirect
993. #3264D73semidirect
1007. C73#61669semidirect
1013. C2×AGL(1,ℤ/8)C2×D73semidirect
1017. C22×D8C2×D73semidirect
1037. #546C2×D73semidirect
1041. D42C2×D73semidirect
1064. #496C2×D73semidirect
1090. #469C2×D73semidirect
1100. #465C2×D73semidirect
1106. #463C2×D73semidirect
1112. #459C2×D73semidirect
1123. #450C2×D73semidirect
1137. #449C2×D73semidirect
1147. #447C2×D73semidirect
1148. #447C2×D73semidirect
1154. #442C2×D73semidirect
1164. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242952
#226236872
#226220792
#226220722
#226219732
#226219602
#226219122
#226219092
#226218962
#226218872
#226214652
#226214642
#226214522
#226214512
#226214112
#226214102
#226214092
#226209632
#226209242
#226208402
#226208362
#226207792
#226207782
#226200682
#226200202
#226192362
#226192342
#226191952
#226191942
#226189992
C73×#32642
#6166973