Finite Group Databasebeta

← #33957926

Subgroups — #33957926

Order 18688.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623721C211yesmaximal, characteristic, complemented
2#22623345C211yesmaximal, characteristic, complemented
3#22621041C211yesmaximal, characteristic, complemented
4#22621038C211yesmaximal, characteristic, complemented
5#22621026C211yesmaximal, characteristic, complemented
6#22621021C211yesmaximal, characteristic, complemented
7#22620988C211yesmaximal, characteristic, complemented
8#22620987C211yesmaximal, characteristic, complemented
9#22620977C211yesmaximal, characteristic, complemented
10#22620976C211yesmaximal, characteristic, complemented
11#22620970C211yesmaximal, characteristic, complemented
12#22620967C211yesmaximal, characteristic, complemented
13#22620916C211yesmaximal, characteristic, complemented
14#22620896C211yesmaximal, characteristic, complemented
15#22620894C211yesmaximal, characteristic, complemented
16#22620863C211yesmaximal, characteristic, complemented
17#22620860C211yesmaximal, characteristic, complemented
18#22620415C211yesmaximal, characteristic, complemented
19#22620404C211yesmaximal, characteristic, complemented
20#22620293C211yesmaximal, characteristic, complemented
21#22620282C211yesmaximal, characteristic, complemented
22#22619420C211yesmaximal, characteristic, complemented
23#22619393C211yesmaximal, characteristic, complemented
24#22619383C211yesmaximal, characteristic, complemented
25#463×D73C211yesmaximal, characteristic, complemented
26#22619241C211yesmaximal, characteristic, complemented
27#22619230C211yesmaximal, characteristic, complemented
28#22619212C211yesmaximal, characteristic, complemented
29#22619194C211yesmaximal, characteristic, complemented
30#22618598C211yesmaximal, characteristic, complemented
31C73×#3213C211yesmaximal, characteristic, complemented
32C2×#14556639C2211yescharacteristic
33C2×#14556636C2211yescharacteristic
34C2×#14556620C2211yescharacteristic, complemented
35C2×#14556618C2211yescharacteristic, complemented
36C2×#14556615C2211yescharacteristic
37C2×#14556615C2211yescharacteristic
38C2×#14556612C2211yescharacteristic, complemented
39C2×#14556610C2211yescharacteristic
40C2×SD16×D73C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic
42#17989245—21no—
43#17989245—21no—
44#17989230—21no—
45#17989230—21no—
46#17989227—21no—
47#17989227—21no—
48#17989227—21no—
49#17989227—21no—
50#17989214C2211yescharacteristic, complemented
51#17989211C2211yescharacteristic, complemented
52#17989204C2211yescharacteristic, complemented
53#17989201—21no—
54#17989191C2211yescharacteristic, complemented
55#17989190C2211yescharacteristic, complemented
56#17989187—21no—
57#17989171—21no—
58#17989169—21no—
59#17989166C2211yescharacteristic
60#17989161C2211yescharacteristic, complemented
61#17989157C2211yescharacteristic
62#17989157C2211yescharacteristic, complemented
63#17989155C2211yescharacteristic
64#17989155C2211yescharacteristic, complemented
65#17989154C2211yescharacteristic, complemented
66#17989153C2211yescharacteristic
67#17989150C2211yescharacteristic, complemented
68#17989137C2211yescharacteristic, complemented
69#17989136C2211yescharacteristic
70#17989136C2211yescharacteristic, complemented
71#17989134C2211yescharacteristic, complemented
72#17989133—21no—
73#17989121C2211yescharacteristic, complemented
74#17989119C2211yescharacteristic, complemented
75#17989117—21no—
76#124×D73C2211yescharacteristic
77#124×D73C2211yescharacteristic, complemented
78#17989096—21no—
79#17989094—21no—
80C4×#11924028C2211yescharacteristic
81C4×#11924027C2211yescharacteristic, complemented
82C4×D4×D73C2211yescharacteristic, complemented
83#17988981C2211yescharacteristic, complemented
84#17988978C2211yescharacteristic, complemented
85#17988976C2211yescharacteristic, complemented
86#17988975C2211yescharacteristic, complemented
87#17988975C2211yescharacteristic, complemented
88#17988973C2211yescharacteristic, complemented
89#17988970C2211yescharacteristic, complemented
90#17988969C2211yescharacteristic, complemented
91#17988969C2211yescharacteristic, complemented
92#17988968C2211yescharacteristic, complemented
93#17988963C2211yescharacteristic, complemented
94#17988962C2211yescharacteristic, complemented
95#17988959C2211yescharacteristic, complemented
96#17988958C2211yescharacteristic, complemented
97#17988956C2211yescharacteristic, complemented
98#17988954C2211yescharacteristic, complemented
99#17988952C2211yescharacteristic, complemented
100#17988950C2211yescharacteristic, complemented
101#17988948C2211yescharacteristic, complemented
102#17988945C2211yescharacteristic, complemented
103#17988943C2211yescharacteristic, complemented
104#17988941C2211yescharacteristic, complemented
105#17988941C2211yescharacteristic, complemented
106#17988940C2211yescharacteristic, complemented
107#17988939C2211yescharacteristic, complemented
108#17988936C2211yescharacteristic, complemented
109#17988935C2211yescharacteristic, complemented
110#17988932C2211yescharacteristic, complemented
111#17988812C2211yescharacteristic, complemented
112#17988810C2211yescharacteristic, complemented
113#17988810C2211yescharacteristic, complemented
114#17988808C2211yescharacteristic, complemented
115#17988806C2211yescharacteristic, complemented
116#17988806C2211yescharacteristic, complemented
117#17988805C2211yescharacteristic, complemented
118#17988804C2211yescharacteristic, complemented
119#17988804C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988802C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988802C2211yescharacteristic, complemented
125#17988802C2211yescharacteristic, complemented
126#17988801C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988799C2211yescharacteristic, complemented
130#17988799C2211yescharacteristic, complemented
131#17988796C2211yescharacteristic, complemented
132#17988791C2211yescharacteristic, complemented
133#17988790C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988786C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic, complemented
137#17988780C2211yescharacteristic, complemented
138#17988780C2211yescharacteristic, complemented
139#17988752C2211yescharacteristic, complemented
140#17988751C2211yescharacteristic, complemented
141#17988751C2211yescharacteristic, complemented
142#17988750C2211yescharacteristic, complemented
143#17988744C2211yescharacteristic, complemented
144#17988743C2211yescharacteristic, complemented
145#17988739C2211yescharacteristic, complemented
146#17988738C2211yescharacteristic, complemented
147#17988735C2211yescharacteristic, complemented
148#17988734C2211yescharacteristic
149#17988734C2211yescharacteristic, complemented
150#17988733C2211yescharacteristic
151#17988731C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988730C2211yescharacteristic
154#17988730C2211yescharacteristic, complemented
155#17988730C2211yescharacteristic, complemented
156#17988730C2211yescharacteristic, complemented
157#17988729C2211yescharacteristic
158#17988729C2211yescharacteristic, complemented
159#17988727C2211yescharacteristic, complemented
160#17988726C2211yescharacteristic, complemented
161#17988724C2211yescharacteristic, complemented
162#17988724C2211yescharacteristic, complemented
163#17988722C2211yescharacteristic
164#17988721C2211yescharacteristic
165#17988719C2211yescharacteristic
166#17988719C2211yescharacteristic, complemented
167#17988649C2211yescharacteristic, complemented
168#17988649C2211yescharacteristic, complemented
169#17988645C2211yescharacteristic, complemented
170#17988645C2211yescharacteristic, complemented
171#17988643C2211yescharacteristic, complemented
172#17988640C2211yescharacteristic, complemented
173#17988639C2211yescharacteristic, complemented
174#17988609C2211yescharacteristic, complemented
175C4⋊C8×D73C2211yescharacteristic, complemented
176#17988594C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic
178#17988587C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic
180#17988582C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic
182#103×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988544C2211yescharacteristic, complemented
187#17988544C2211yescharacteristic, complemented
188#532×C73C2211yescharacteristic, complemented
189C2×#124×C73C2211yescharacteristic, complemented
190#496×C73C2211yescharacteristic, complemented
191#496×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic, complemented
193#489×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#463×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic, complemented
199#448×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic
201#447×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203#14556639—42no—
204#14556639—42no—
205#14556636—42no—
206#14556636—42no—
207C2×#11924029—21no—
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924028—21no—
211C2×#11924028—21no—
212C2×#11924028—21no—
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924028C2311yescharacteristic
216C2×#11924027—21no—
217C2×#11924027C2311yescharacteristic
218C2×#11924027C2311yescharacteristic
219C2×#11924027C2311yescharacteristic
220C2×Q8×D73—21no—
221C2×Q8×D73C2311yescharacteristic
222C2×Q8×D73C2311yescharacteristic
223C22×C22⋊D73—21no—
224C22×C22⋊D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C22×C4×D73—21no—
230#14556620—42no—
231#14556618—42no—
232#14556615—42no—
233#14556615—42no—
234#14556612—42no—
235#14556610—42no—
236C2×Dic292C2311yescharacteristic
237C2×Dic292C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924017C2311yescharacteristic
241C2×#11924017C2311yescharacteristic
242C2×#11924017C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924016C2311yescharacteristic
246C2×#11924016C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252SD16×D73—42no—
253C2×D584C2311yescharacteristic
254C2×D584C2311yescharacteristic
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261D8×D73—42no—
262C2×#11924011C2311yescharacteristic
263C2×#11924011C2311yescharacteristic
264C2×C8×D73C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266#14556591C2311yescharacteristic
267#14556590C2311yescharacteristic
268#14556589—21no—
269#14556589C2311yescharacteristic
270#14556589C2311yescharacteristic
271#14556588C2311yescharacteristic
272#14556587—21no—
273#14556587C2311yescharacteristic
274#14556587C2311yescharacteristic
275#14556587C2311yescharacteristic
276#14556586—21no—
277#14556585—21no—
278#14556584—21no—
279#14556584—21no—
280#14556583C2311yescharacteristic
281#14556582C2311yescharacteristic
282#14556581—21no—
283#14556580—21no—
284#14556580C2311yescharacteristic
285#14556580C2311yescharacteristic
286#14556579C2311yescharacteristic
287#14556579C2311yescharacteristic
288#14556579C2311yescharacteristic
289#14556578—21no—
290#14556578C2311yescharacteristic
291#14556578C2311yescharacteristic
292#14556578C2311yescharacteristic
293#14556577—21no—
294#14556577—21no—
295#14556577—21no—
296#14556577—21no—
297#14556577—21no—
298#14556577—21no—
299#14556576—21no—
300#14556575—21no—
301#14556574—21no—
302#14556574—21no—
303#14556574—21no—
304#14556573—21no—
305#14556573—21no—
306#14556573—21no—
307#14556573—21no—
308#14556573—21no—
309#14556573—21no—
310#14556572—21no—
311#14556572—21no—
312#14556572—21no—
313#14556571C2311yescharacteristic
314#14556570C2311yescharacteristic
315#14556569—21no—
316#14556568—21no—
317#14556568—21no—
318#14556568—21no—
319#14556568—21no—
320#14556568—21no—
321#14556568—21no—
322#14556567—21no—
323#14556567—21no—
324#14556567—21no—
325#14556567—21no—
326#14556566C2311yescharacteristic
327#14556565—21no—
328#14556565—21no—
329#14556565C2311yescharacteristic
330#14556564—21no—
331#14556564—21no—
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556563—21no—
341#14556563—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563—21no—
345#14556563—21no—
346#14556562—21no—
347#14556562—21no—
348#14556562—21no—
349#14556562—21no—
350#14556562C2311yescharacteristic
351#14556562C2311yescharacteristic
352#14556561—21no—
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556560—21no—
358#14556560—21no—
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362C4×Dic146D411yescharacteristic
363C4×Dic146D411yescharacteristic
364C4×Dic146C2311yescharacteristic
365#14556556C2311yescharacteristic
366C4×D292—21no—
367C4×D292—21no—
368C4×D292D411yescharacteristic
369C4×D292D411yescharacteristic
370C4×D292C2311yescharacteristic
371D4×Dic73C2311yescharacteristic
372D4×Dic73C2311yescharacteristic
373#14556553C2311yescharacteristic
374C4×C22⋊D73—21no—
375C4×C22⋊D73—21no—
376C4×C22⋊D73—21no—
377C4×C22⋊D73—21no—
378C4×C22⋊D73—21no—
379C4×C22⋊D73D411yescharacteristic
380C4×C22⋊D73D411yescharacteristic
381C4×C22⋊D73D411yescharacteristic
382C4×C22⋊D73D411yescharacteristic
383#14556551—21no—
384#14556551—21no—
385#14556551—21no—
386#14556551—21no—
387#14556551—21no—
388#14556551—21no—
389#14556550—21no—
390#14556550C2311yescharacteristic
391#14556549C2311yescharacteristic
392#14556548—21no—
393#14556548C2311yescharacteristic
394#14556548C2311yescharacteristic
395#14556547—21no—
396C4⋊C4×D73C2311yescharacteristic
397C22⋊C4×D73—21no—
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C2×C4×Dic73—21no—
403C42×D73C2311yescharacteristic
404C42×D73C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406C4⋊#10596831C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556501C2311yescharacteristic
442#14556501C2311yescharacteristic
443C4×#10596831C2311yescharacteristic
444C4×#10596831C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73—21no—
448C22×Q8×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×D8×C73C2311yescharacteristic
456C2×D8×C73C2311yescharacteristic
457C2×D8×C73C2311yescharacteristic
458C4⋊Q8×C73C2311yescharacteristic
459#127×C73C2311yescharacteristic
460#124×C73—21no—
461#124×C73—21no—
462#124×C73—21no—
463#124×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic
465#124×C73C2311yescharacteristic
466#124×C73C2311yescharacteristic
467#121×C73—21no—
468#121×C73C2311yescharacteristic
469#121×C73C2311yescharacteristic
470C4×D4×C73—21no—
471C4×D4×C73C2311yescharacteristic
472C4×D4×C73C2311yescharacteristic
473C2×C22⋊C4×C73—21no—
474C2×C22⋊C4×C73—21no—
475C2×C42×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477C4⋊C8×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488#97×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493#11924029—22no—
494#11924029—22no—
495#11924029—41no—
496#11924029—41no—
497#11924029—44no—
498#11924028—22no—
499#11924028—22no—
500#11924028—41no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—44no—
505#11924028—44no—
506#11924028—82no—
507#11924027—22no—
508#11924027—22no—
509#11924027—22no—
510#11924027—22no—
511#11924027—41no—
512#11924027—41no—
513#11924027—44no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521Q8×D73—22no—
522Q8×D73—22no—
523Q8×D73—41no—
524Q8×D73—41no—
525Q8×D73—44no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292C2×D411yescharacteristic
532C2×D292C2411yescharacteristic
533C2×D292C2411yescharacteristic
534C2×D292C2411yescharacteristic
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—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—44no—
553C2×C22⋊D73—44no—
554C2×C22⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556D4×D73—22no—
557D4×D73—22no—
558D4×D73—22no—
559D4×D73—22no—
560D4×D73—41no—
561D4×D73—41no—
562D4×D73—44no—
563C22×Dic73—21no—
564C22×Dic73—21no—
565C22×Dic73—21no—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—82no—
578C2×C4×D73C2×D411yescharacteristic
579C2×C4×D73C2×D411yescharacteristic
580C2×C4×D73C2×D411yescharacteristic
581C2×C4×D73C2×D411yescharacteristic
582C2×C4×D73C2411yescharacteristic
583C2×C4×D73C2411yescharacteristic
584Dic292—41no—
585Dic292—41no—
586#11924018—41no—
587#11924018—41no—
588#11924017—41no—
589#11924017—41no—
590#11924017—41no—
591#11924017—41no—
592#11924016—41no—
593#11924016—41no—
594#11924016—41no—
595#11924016—41no—
596#11924016—41no—
597#11924016—41no—
598#11924015—41no—
599#11924015—41no—
600D584—41no—
601D584—41no—
602#11924013—41no—
603#11924013—41no—
604#11924013—41no—
605#11924013—41no—
606#11924013—41no—
607#11924013—41no—
608#11924011—22no—
609#11924011—22no—
610C2×#10596831C2411yescharacteristic
611C2×#10596831C2411yescharacteristic
612C2×#10596831C2411yescharacteristic
613C2×#10596831C2411yescharacteristic
614C8×D73—22no—
615C8×D73—22no—
616C4⋊Dic73—21no—
617C4⋊Dic73—21no—
618C4⋊Dic73—21no—
619C4⋊Dic73—21no—
620C4⋊Dic73C2×D411yescharacteristic
621C4⋊Dic73C2×D411yescharacteristic
622C4⋊Dic73C2411yescharacteristic
623C4⋊Dic73C2411yescharacteristic
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
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#11924007C2×D411yescharacteristic
637#11924007C2×D411yescharacteristic
638#11924007C2×D411yescharacteristic
639#11924007C2×D411yescharacteristic
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⋊Dic73C2×D411yescharacteristic
652C22⋊Dic73C2×D411yescharacteristic
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
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#11924005—21no—
669#11924005C2×D411yescharacteristic
670#11924005C2×D411yescharacteristic
671#11924005C2×D411yescharacteristic
672#11924005C2×D411yescharacteristic
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73—21no—
676C4×Dic73C2×D411yescharacteristic
677C4×Dic73C2×D411yescharacteristic
678C4×Dic73C2×D411yescharacteristic
679C4×Dic73C2×D411yescharacteristic
680C4×Dic73C2411yescharacteristic
681C4×Dic73C2411yescharacteristic
682C24×C73—21no—
683#41×C73—82no—
684C2×Q8×C73—21no—
685C2×Q8×C73—21no—
686C2×Q8×C73—41no—
687C2×Q8×C73—41no—
688C2×Q8×C73C2411yescharacteristic
689C2×Q8×C73C2411yescharacteristic
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×C73C2411yescharacteristic
698C2×D4×C73C2411yescharacteristic
699C2×D4×C73C2411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C22×C4×C73—21no—
702C22×C4×C73—21no—
703C22×C4×C73—21no—
704C22×C4×C73C2×D411yescharacteristic
705C22×C4×C73C2×D411yescharacteristic
706C22×C4×C73C2411yescharacteristic
707SD16×C73—41no—
708SD16×C73—41no—
709SD16×C73—41no—
710SD16×C73—41no—
711D8×C73—41no—
712D8×C73—41no—
713D8×C73—41no—
714D8×C73—41no—
715C2×C8×C73C2411yescharacteristic
716C2×C8×C73C2411yescharacteristic
717C2×C8×C73C2411yescharacteristic
718C2×C8×C73C2411yescharacteristic
719C4⋊C4×C73—21no—
720C4⋊C4×C73C2411yescharacteristic
721C4⋊C4×C73C2411yescharacteristic
722C22⋊C4×C73—21no—
723C22⋊C4×C73—21no—
724C22⋊C4×C73—21no—
725C22⋊C4×C73—21no—
726C22⋊C4×C73—21no—
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C42×C73C2×D411yescharacteristic
735C42×C73C2×D411yescharacteristic
736C42×C73C2411yescharacteristic
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—21no—
742C23×C73—42no—
743C23×C73—81no—
744C23×C73—81no—
745C23×C73C22×D411yescharacteristic
746C22×D73—21no—
747C22×D73—21no—
748C22×D73—21no—
749C22×D73—42no—
750C22×D73—42no—
751C22×D73—42no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73C22×D411yescharacteristic
759C22×D73C22×D411yescharacteristic
760Q8×C73—21no—
761Q8×C73—21no—
762Q8×C73—21no—
763Q8×C73—21no—
764Q8×C73—42no—
765Q8×C73—81no—
766D4×C73—21no—
767D4×C73—21no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—42no—
775D4×C73—81no—
776D4×C73—81no—
777D4×C73—81no—
778D4×C73—81no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—41no—
786C2×C4×C73—41no—
787C2×C4×C73—42no—
788C2×C4×C73—42no—
789C2×C4×C73—42no—
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C22×D411yescharacteristic
793C2×C4×C73C22×D411yescharacteristic
794C2×C4×C73C22×D411yescharacteristic
795C2×C4×C73C2511yescharacteristic
796C22⋊D73—22no—
797C22⋊D73—22no—
798C22⋊D73—42no—
799C22⋊D73—42no—
800C22⋊D73—42no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—81no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C22⋊D73—81no—
810C22⋊D73—81no—
811C22⋊D73—81no—
812C22⋊D73—81no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—21no—
818C2×Dic73—21no—
819C2×Dic73—21no—
820C2×Dic73—42no—
821C2×Dic73—42no—
822C2×Dic73—42no—
823C2×Dic73—81no—
824C2×Dic73—81no—
825C2×Dic73C22×D411yescharacteristic
826C2×Dic73C22×D411yescharacteristic
827C2×Dic73C22×D411yescharacteristic
828C2×Dic73C22×D411yescharacteristic
829C2×Dic73C22×D411yescharacteristic
830C2×Dic73C22×D411yescharacteristic
831D292—22no—
832D292—21no—
833D292—21no—
834D292—21no—
835D292—21no—
836D292—21no—
837D292—21no—
838D292—42no—
839D292—42no—
840D292—81no—
841D292—81no—
842D292—81no—
843C4×D73—21no—
844C4×D73—21no—
845C4×D73—41no—
846C4×D73—41no—
847C4×D73—41no—
848C4×D73—41no—
849C4×D73—42no—
850C4×D73—42no—
851C4×D73—42no—
852C4×D73—42no—
853C4×D73—42no—
854C4×D73—42no—
855C4×D73—42no—
856C4×D73—81no—
857C4×D73—81no—
858C4×D73H(5,𝔽2)12yes—
859C4×D73H(5,𝔽2)12yes—
860Dic146—22no—
861Dic146—21no—
862Dic146—21no—
863Dic146—21no—
864Dic146—21no—
865Dic146—21no—
866Dic146—21no—
867Dic146—42no—
868Dic146—42no—
869Dic146—81no—
870C8×C73—21no—
871C8×C73—21no—
872C8×C73—21no—
873C8×C73—21no—
874#10596831—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878C22×C73—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—162no—
894C22×C73C23×D411yescharacteristic
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—21no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—41no—
905C2×D73—41no—
906C2×D73—41no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—84no—
910C2×D73—162no—
911C2×D73—162no—
912C2×D73#53512yes—
913C4×C73—21no—
914C4×C73—21no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—21no—
918C4×C73—41no—
919C4×C73—41no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73C2×H(5,𝔽2)11yescharacteristic
923C4×C73C2×H(5,𝔽2)11yescharacteristic
924Dic73—21no—
925Dic73—21no—
926Dic73—21no—
927Dic73—21no—
928Dic73—21no—
929Dic73—41no—
930Dic73—41no—
931Dic73—41no—
932Dic73—41no—
933Dic73—41no—
934Dic73#53512yes—
935#60834—731nomaximal, Sylow
936C2×C73—41no—
937C2×C73—81no—
938C2×C73—81no—
939C2×C73—81no—
940C2×C73—81no—
941C2×C73C2×#53511yescharacteristic
942C2×C73#358411yescharacteristic
943C2×C73#358511yescharacteristic
944D73—22no—
945D73—41no—
946D73—81no—
947D73—81no—
948D73—81no—
949#3500—731no—
950#3460—731no—
951#3225—731no—
952#3225—731no—
953#3224—731no—
954#3224—731no—
955#3221—731no—
956#3221—731no—
957#3220—731no—
958#3220—731no—
959#3219—731no—
960#3219—731no—
961#3213—731no—
962#3213D7311yescharacteristic, complemented
963#3211—731no—
964#3211—731no—
965#3207—731no—
966#3207—731no—
967#3155—731no—
968#3154—731no—
969#3137—731no—
970#3136—731no—
971#3040—731no—
972#3036—731no—
973#3035—731no—
974C2×#463—731no—
975#3013—731no—
976#3012—731no—
977#3010—731no—
978#3008—731no—
979#2925—731no—
980C73#6083411yescharacteristic, complemented, Sylow
981C2×2−1+4—731no—
982C2×H(5,𝔽2)—731no—
983C2×#137—731no—
984C2×AGL(1,ℤ/8)—731no—
985C2×AGL(1,ℤ/8)—731no—
986C2×AGL(1,ℤ/8)—731no—
987C2×#135—731no—
988C2×#135—731no—
989C22×SD16—731no—
990C22×D8—731no—
991#548—1461no—
992#548—1461no—
993#546—1461no—
994#546—1461no—
995#546—1461no—
996#546—1461no—
997#546—1461no—
998#546—1461no—
999#544—731no—
1000#542—731no—
1001#542—731no—
1002#542—1461no—
1003#540—731no—
1004#540—731no—
1005#540—1461no—
1006#538—1461no—
1007#538—1461no—
1008#537—731no—
1009#536—731no—
1010#536—731no—
1011#536—731no—
1012#535—731no—
1013#535—731no—
1014#535—731no—
1015#535—731no—
1016#535—731no—
1017#532—731no—
1018#532—731no—
1019#532—731no—
1020#532—731no—
1021#532—1461no—
1022#532C2×D7311yescharacteristic, complemented
1023#529—731no—
1024#529—731no—
1025#529—1461no—
1026C2×#124—731no—
1027C2×#124—731no—
1028C2×#124C2×D7311yescharacteristic, complemented
1029#525—1461no—
1030#525—1461no—
1031C4×#41—731no—
1032C4×#41—731no—
1033C2×C4×D4—731no—
1034#497—731no—
1035#497—731no—
1036#496—731no—
1037#496—731no—
1038#496—731no—
1039#496—731no—
1040#496C2×D7311yescharacteristic, complemented
1041#496C2×D7311yescharacteristic, complemented
1042#495—731no—
1043#495—731no—
1044#495—731no—
1045#495—731no—
1046#493—731no—
1047#493—731no—
1048#492—731no—
1049#492—731no—
1050#491—731no—
1051#491—731no—
1052#490—731no—
1053#490—731no—
1054#489—731no—
1055#489—731no—
1056#489C2×D7311yescharacteristic, complemented
1057#489C2×D7311yescharacteristic, complemented
1058#488—731no—
1059#488—731no—
1060#488—731no—
1061#488—731no—
1062#487—731no—
1063#487—731no—
1064#486—731no—
1065#486—731no—
1066#464—731no—
1067#464—731no—
1068#464—731no—
1069#464—731no—
1070#464—731no—
1071#464—731no—
1072#463—731no—
1073#463—731no—
1074#463—731no—
1075#463—731no—
1076#463—731no—
1077#463—731no—
1078#463—731no—
1079#463—731no—
1080#463—731no—
1081#463—731no—
1082#463—731no—
1083#463—731no—
1084#463—731no—
1085#463—731no—
1086#463C2×D7311yescharacteristic, complemented
1087#463C2×D7311yescharacteristic, complemented
1088#463C2×D7311yescharacteristic, complemented
1089#463C2×D7311yescharacteristic, complemented
1090#462—731no—
1091#461—731no—
1092#461—731no—
1093#461—731no—
1094#460—731no—
1095#459—731no—
1096#459—731no—
1097#459—731no—
1098#452—731no—
1099#452—731no—
1100#452—731no—
1101#452—731no—
1102#451—731no—
1103#451—731no—
1104#450—731no—
1105#450—731no—
1106#449—731no—
1107#449—731no—
1108#449—731no—
1109#449—731no—
1110#449—731no—
1111#449—731no—
1112#449—731no—
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#448—731no—
1119#448—731no—
1120#448—731no—
1121#448—731no—
1122#448C2×D7311yescharacteristic, complemented
1123#448C2×D7311yescharacteristic, complemented
1124#447—731no—
1125#447—731no—
1126#447—731no—
1127#447—731no—
1128#447C2×D7311yescharacteristic
1129#447C2×D7311yescharacteristic, complemented
1130#433—731no—
1131#433—731no—
1132#433—731no—
1133#433—731no—
1134#432—731no—
1135#432C2×D7311yescharacteristic, complemented
1136#431—731no—
1137#431—731no—
1138#423—731no—
1139C2×C4⋊C8—731no—
1140#419—731no—
1141#418—731no—
1142#417—731no—
1143#417—731no—
1144#416—731no—
1145#416—731no—
1146C2×#103—731no—
1147C2×#102—731no—
1148#408—731no—
1149#408—731no—
1150#405—731no—
1151#405—731no—
11522−1+4—2922no—
11532−1+4—2922no—
1154H(5,𝔽2)—2922no—
1155H(5,𝔽2)—2922no—
1156C2×#41—21no—
1157C2×#41—731no—
1158C2×#41—731no—
1159C2×#41—731no—
1160C2×#41—731no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—731no—
1164C2×#41—731no—
1165C2×#41—1461no—
1166C2×#41—1461no—
1167C2×#41—1461no—
1168C2×#41—1461no—
1169C2×#41—1461no—
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×Q8—1461no—
1173C22×Q8C22×D7311yescharacteristic
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—731no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4C22×D7311yescharacteristic
1181C23×C4—1461no—
1182#137—2922no—
1183AGL(1,ℤ/8)—2922no—
1184AGL(1,ℤ/8)—2922no—
1185AGL(1,ℤ/8)—2922no—
1186#135—2922no—
1187#135—2922no—
1188C2×Q16—731no—
1189C2×Q16—731no—
1190C2×Q16—731no—
1191C2×Q16—731no—
1192C2×SD16—2922no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16—731no—
1199C2×SD16—731no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16C22×D7311yescharacteristic
1206C2×SD16C22×D7311yescharacteristic
1207C2×SD16C22×D7311yescharacteristic
1208C2×SD16C22×D7311yescharacteristic
1209C2×D8—2922no—
1210C2×D8—731no—
1211C2×D8—731no—
1212C2×D8—731no—
1213C2×D8—731no—
1214C2×D8—731no—
1215C2×D8—731no—
1216C2×D8—731no—
1217C2×D8—731no—
1218C2×D8C22×D7311yescharacteristic
1219C2×D8C22×D7311yescharacteristic
1220C2×D8C22×D7311yescharacteristic
1221C2×D8C22×D7311yescharacteristic
1222C2×M16—731no—
1223C2×M16—731no—
1224C22×C8—731no—
1225C22×C8—731no—
1226C4⋊Q8—731no—
1227C4⋊Q8—731no—
1228C4⋊Q8—731no—
1229C4⋊Q8—731no—
1230C4⋊Q8—1461no—
1231C4⋊Q8C22×D7311yescharacteristic
1232#127—731no—
1233#127—731no—
1234#127—731no—
1235#127—731no—
1236#127—1461no—
1237#127C22×D7311yescharacteristic
1238#126—1461no—
1239#126—1461no—
1240#126—1461no—
1241#126—1461no—
1242#125—731no—
1243#125—731no—
1244#125—1461no—
1245#124—21no—
1246#124—21no—
1247#124—21no—
1248#124—731no—
1249#124—731no—
1250#124—731no—
1251#124—731no—
1252#124—731no—
1253#124—731no—
1254#124—731no—
1255#124—731no—
1256#124—1461no—
1257#124—1461no—
1258#124—1461no—
1259#124—1461no—
1260#124—1461no—
1261#124—1461no—
1262#124—1461no—
1263#124—1461no—
1264#124C22×D7311yescharacteristic
1265#124C22×D7311yescharacteristic
1266#124C22×D7311yescharacteristic
1267#124C22×D7311yescharacteristic
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271#123—1461no—
1272#123—1461no—
1273#123—1461no—
1274#123—1461no—
1275#123—1461no—
1276#123—1461no—
1277#123—1461no—
1278#123—1461no—
1279#123—1461no—
1280#123—1461no—
1281#123—1461no—
1282C22⋊Q8—731no—
1283C22⋊Q8—731no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8—1461no—
1293C22⋊Q8—1461no—
1294C22⋊Q8—1461no—
1295#121—21no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—1461no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121C22×D7311yescharacteristic
1323#121C22×D7311yescharacteristic
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328#120—1461no—
1329#120—1461no—
1330#120—1461no—
1331#120—1461no—
1332#120—1461no—
1333#120—1461no—
1334C4×Q8—731no—
1335C4×Q8—731no—
1336C4×Q8—731no—
1337C4×Q8—731no—
1338C4×D4—21no—
1339C4×D4—731no—
1340C4×D4—731no—
1341C4×D4—731no—
1342C4×D4—731no—
1343C4×D4—731no—
1344C4×D4—731no—
1345C4×D4—731no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—1461no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4C22×D7311yescharacteristic
1363C4×D4C22×D7311yescharacteristic
1364#117—731no—
1365#117—731no—
1366#117—731no—
1367#117—731no—
1368#117—1461no—
1369#117—1461no—
1370#117—1461no—
1371C2×C4⋊C4—731no—
1372C2×C22⋊C4—21no—
1373C2×C22⋊C4—21no—
1374C2×C22⋊C4—1461no—
1375C2×C22⋊C4—1461no—
1376C2×C22⋊C4—1461no—
1377C2×C22⋊C4—1461no—
1378C2×C22⋊C4—1461no—
1379C2×C42—731no—
1380C2×C42—731no—
1381C2×C42—1461no—
1382C2×C42C22×D7311yescharacteristic
1383C4⋊C8—731no—
1384C4⋊C8—731no—
1385C4⋊C8—731no—
1386C4⋊C8—731no—
1387C4⋊C8—731no—
1388C4⋊C8—731no—
1389C4⋊C8C22×D7311yescharacteristic
1390C4⋊C8C22×D7311yescharacteristic
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103C22×D7311yescharacteristic
1404#103C22×D7311yescharacteristic
1405#103C22×D7311yescharacteristic
1406#103C22×D7311yescharacteristic
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102C22×D7311yescharacteristic
1420#102C22×D7311yescharacteristic
1421#102C22×D7311yescharacteristic
1422#102C22×D7311yescharacteristic
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8C22×D7311yescharacteristic
1430C22⋊C8C22×D7311yescharacteristic
1431#97—731no—
1432#97—731no—
1433#97C22×D7311yescharacteristic
1434#97C22×D7311yescharacteristic
1435C4×C8—731no—
1436C4×C8—731no—
1437C4×C8—731no—
1438C4×C8—731no—
1439C24—21no—
1440C24—1461no—
1441C24—1461no—
1442C24—1461no—
1443#41—82no—
1444#41—2921no—
1445#41—2921no—
1446#41—2921no—
1447#41—2921no—
1448#41—2924no—
1449#41—2924no—
1450#41—2924no—
1451#41—2924no—
1452#41—2921no—
1453#41—2921no—
1454#41—2921no—
1455#41—2921no—
1456#41—5842no—
1457#41—1462no—
1458#41—1462no—
1459#41—1462no—
1460#41—1462no—
1461#41—1462no—
1462#41—1462no—
1463#41—1462no—
1464#41—1462no—
1465C2×Q8—21no—
1466C2×Q8—21no—
1467C2×Q8—41no—
1468C2×Q8—41no—
1469C2×Q8—2924no—
1470C2×Q8—2921no—
1471C2×Q8—2921no—
1472C2×Q8—731no—
1473C2×Q8—731no—
1474C2×Q8—731no—
1475C2×Q8—731no—
1476C2×Q8—1461no—
1477C2×Q8—1461no—
1478C2×Q8—1461no—
1479C2×Q8—1462no—
1480C2×Q8—1462no—
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—41no—
1490C2×D4—2924no—
1491C2×D4—2924no—
1492C2×D4—2924no—
1493C2×D4—2921no—
1494C2×D4—2921no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1462no—
1505C2×D4—1462no—
1506C2×D4—1462no—
1507C2×D4—1462no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4C23×D7311yescharacteristic
1528C2×D4C23×D7311yescharacteristic
1529C2×D4C23×D7311yescharacteristic
1530C2×D4C23×D7311yescharacteristic
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—21no—
1534C22×C4—5842no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—731no—
1538C22×C4—731no—
1539C22×C4—731no—
1540C22×C4—731no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4—1461no—
1553C22×C4—1461no—
1554C22×C4—1461no—
1555C22×C4D4×D7311yescharacteristic
1556C22×C4D4×D7311yescharacteristic
1557C22×C4C23×D7311yescharacteristic
1558Q16—2921no—
1559Q16—2921no—
1560Q16—2921no—
1561Q16—2921no—
1562SD16—41no—
1563SD16—41no—
1564SD16—41no—
1565SD16—41no—
1566SD16—2921no—
1567SD16—2921no—
1568SD16—2921no—
1569SD16—2921no—
1570SD16—2921no—
1571SD16—2921no—
1572SD16—2921no—
1573SD16—2921no—
1574SD16—2921no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578D8—41no—
1579D8—41no—
1580D8—41no—
1581D8—41no—
1582D8—2921no—
1583D8—2921no—
1584D8—2921no—
1585D8—2921no—
1586D8—2921no—
1587D8—2921no—
1588D8—2921no—
1589D8—2921no—
1590M16—1462no—
1591M16—1462no—
1592C2×C8—731no—
1593C2×C8—731no—
1594C2×C8—731no—
1595C2×C8—731no—
1596C2×C8—1462no—
1597C2×C8—1462no—
1598C2×C8C23×D7311yescharacteristic
1599C2×C8C23×D7311yescharacteristic
1600C2×C8C23×D7311yescharacteristic
1601C2×C8C23×D7311yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—731no—
1604C4⋊C4—731no—
1605C4⋊C4—731no—
1606C4⋊C4—731no—
1607C4⋊C4—731no—
1608C4⋊C4—731no—
1609C4⋊C4—731no—
1610C4⋊C4—731no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4C23×D7311yescharacteristic
1628C4⋊C4C23×D7311yescharacteristic
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—731no—
1642C22⋊C4—731no—
1643C22⋊C4—731no—
1644C22⋊C4—731no—
1645C22⋊C4—731no—
1646C22⋊C4—731no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
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⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C42—731no—
1675C42—731no—
1676C42—731no—
1677C42—731no—
1678C42—731no—
1679C42—731no—
1680C42—1461no—
1681C42—1461no—
1682C42—1461no—
1683C42D4×D7311yescharacteristic
1684C42D4×D7311yescharacteristic
1685C42C23×D7311yescharacteristic
1686C42C23×D7311yescharacteristic
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—42no—
1692C23—81no—
1693C23—81no—
1694C23—2922no—
1695C23—2922no—
1696C23—2922no—
1697C23—5841no—
1698C23—5841no—
1699C23—5841no—
1700C23—5841no—
1701C23—5841no—
1702C23—5841no—
1703C23—731no—
1704C23—731no—
1705C23—1461no—
1706C23—1461no—
1707C23—1461no—
1708C23C2×D4×D7311yescharacteristic
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—42no—
1714Q8—81no—
1715Q8—2922no—
1716Q8—2922no—
1717Q8—5841no—
1718Q8—1462no—
1719Q8—1461no—
1720Q8—1461no—
1721Q8—1461no—
1722Q8—1461no—
1723Q8—1461no—
1724Q8—1461no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—2922no—
1739D4—2922no—
1740D4—2922no—
1741D4—2922no—
1742D4—2922no—
1743D4—2922no—
1744D4—2922no—
1745D4—2922no—
1746D4—2922no—
1747D4—2922no—
1748D4—5841no—
1749D4—5841no—
1750D4—5841no—
1751D4—5841no—
1752D4—5841no—
1753D4—5841no—
1754D4—5841no—
1755D4—5841no—
1756D4—5841no—
1757D4—5841no—
1758D4—5841no—
1759D4—5841no—
1760D4—1462no—
1761D4—1462no—
1762D4—1462no—
1763D4—1461no—
1764D4—1461no—
1765D4—1461no—
1766D4—1461no—
1767D4—1461no—
1768D4—1461no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—42no—
1780C2×C4—2922no—
1781C2×C4—2922no—
1782C2×C4—2922no—
1783C2×C4—2921no—
1784C2×C4—2921no—
1785C2×C4—2921no—
1786C2×C4—2921no—
1787C2×C4—2922no—
1788C2×C4—2922no—
1789C2×C4—2922no—
1790C2×C4—2922no—
1791C2×C4—2922no—
1792C2×C4—2922no—
1793C2×C4—2922no—
1794C2×C4—5841no—
1795C2×C4—5841no—
1796C2×C4—5841no—
1797C2×C4—5841no—
1798C2×C4—731no—
1799C2×C4—732no—
1800C2×C4—732no—
1801C2×C4—731no—
1802C2×C4—731no—
1803C2×C4—731no—
1804C2×C4—731no—
1805C2×C4—731no—
1806C2×C4—1461no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4C2×D4×D7311yescharacteristic
1814C2×C4C2×D4×D7311yescharacteristic
1815C2×C4C2×D4×D7311yescharacteristic
1816C2×C4C2×D4×D7311yescharacteristic
1817C2×C4C2×D4×D7311yescharacteristic
1818C2×C4C24×D7311yescharacteristic
1819C8—21no—
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—1461no—
1824C8—1461no—
1825C8—1461no—
1826C8—1461no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—162no—
1843C22—2921no—
1844C22—2921no—
1845C22—2921no—
1846C22—2921no—
1847C22—2921no—
1848C22—2921no—
1849C22—2921no—
1850C22—2921no—
1851C22—2921no—
1852C22—5844no—
1853C22—732no—
1854C22—11682no—
1855C22—11682no—
1856C22—1461no—
1857C22—1461no—
1858C22—1461no—
1859C22—1461no—
1860C22—1461no—
1861C22C22×D4×D7311yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—2921no—
1872C4—2921no—
1873C4—2921no—
1874C4—2921no—
1875C4—2921no—
1876C4—732no—
1877C4—1461no—
1878C4—1461no—
1879C4—1461no—
1880C4—1461no—
1881C4—1461no—
1882C4H(5,𝔽2)×D7311yescharacteristic
1883C4H(5,𝔽2)×D7311yescharacteristic
1884C2—41no—
1885C2—81no—
1886C2—81no—
1887C2—81no—
1888C2—81no—
1889C2—2921no—
1890C2—5841no—
1891C2—5841no—
1892C2—5841no—
1893C2—1462no—
1894C2#535×D7311yescharacteristic
1895C2#2262470411yescharacteristic
1896C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3213C2
socleC22×C73C23×D4
hypercenter#3213D73
hypocenterC73#60834
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3213

Complements

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

NH ≅ G/Ntype
1. #22623721C2semidirect
2. #22623345C2semidirect
3. #22621041C2semidirect
4. #22621038C2semidirect
5. #22621026C2semidirect
6. #22621021C2semidirect
7. #22620988C2semidirect
8. #22620987C2semidirect
9. #22620977C2semidirect
10. #22620976C2semidirect
11. #22620970C2semidirect
12. #22620967C2semidirect
13. #22620916C2semidirect
14. #22620896C2semidirect
15. #22620894C2semidirect
16. #22620863C2semidirect
17. #22620860C2semidirect
18. #22620415C2semidirect
19. #22620404C2semidirect
20. #22620293C2semidirect
21. #22620282C2semidirect
22. #22619420C2semidirect
23. #22619393C2semidirect
24. #22619383C2semidirect
25. #463×D73C2semidirect
26. #22619241C2semidirect
27. #22619230C2semidirect
28. #22619212C2semidirect
29. #22619194C2semidirect
30. #22618598C2semidirect
31. C73×#3213C2semidirect
34. C2×#14556620C22semidirect
35. C2×#14556618C22semidirect
38. C2×#14556612C22semidirect
40. C2×SD16×D73C22semidirect
50. #17989214C22semidirect
51. #17989211C22semidirect
52. #17989204C22semidirect
54. #17989191C22semidirect
55. #17989190C22semidirect
60. #17989161C22semidirect
62. #17989157C22semidirect
64. #17989155C22semidirect
65. #17989154C22semidirect
67. #17989150C22semidirect
68. #17989137C22semidirect
70. #17989136C22semidirect
71. #17989134C22semidirect
73. #17989121C22semidirect
74. #17989119C22semidirect
77. #124×D73C22semidirect
81. C4×#11924027C22semidirect
82. C4×D4×D73C22semidirect
83. #17988981C22semidirect
84. #17988978C22semidirect
85. #17988976C22semidirect
86. #17988975C22semidirect
87. #17988975C22semidirect
88. #17988973C22semidirect
89. #17988970C22semidirect
90. #17988969C22semidirect
91. #17988969C22semidirect
92. #17988968C22semidirect
93. #17988963C22semidirect
94. #17988962C22semidirect
95. #17988959C22semidirect
96. #17988958C22semidirect
97. #17988956C22semidirect
98. #17988954C22semidirect
99. #17988952C22semidirect
100. #17988950C22semidirect
101. #17988948C22semidirect
102. #17988945C22semidirect
103. #17988943C22semidirect
104. #17988941C22semidirect
105. #17988941C22semidirect
106. #17988940C22semidirect
107. #17988939C22semidirect
108. #17988936C22semidirect
109. #17988935C22semidirect
110. #17988932C22semidirect
111. #17988812C22semidirect
112. #17988810C22semidirect
113. #17988810C22semidirect
114. #17988808C22semidirect
115. #17988806C22semidirect
116. #17988806C22semidirect
117. #17988805C22semidirect
118. #17988804C22semidirect
119. #17988804C22semidirect
120. #17988803C22semidirect
121. #17988803C22semidirect
122. #17988802C22semidirect
123. #17988802C22semidirect
124. #17988802C22semidirect
125. #17988802C22semidirect
126. #17988801C22semidirect
127. #17988800C22semidirect
128. #17988800C22semidirect
129. #17988799C22semidirect
130. #17988799C22semidirect
131. #17988796C22semidirect
132. #17988791C22semidirect
133. #17988790C22semidirect
134. #17988790C22semidirect
135. #17988786C22semidirect
136. #17988781C22semidirect
137. #17988780C22semidirect
138. #17988780C22semidirect
139. #17988752C22semidirect
140. #17988751C22semidirect
141. #17988751C22semidirect
142. #17988750C22semidirect
143. #17988744C22semidirect
144. #17988743C22semidirect
145. #17988739C22semidirect
146. #17988738C22semidirect
147. #17988735C22semidirect
149. #17988734C22semidirect
151. #17988731C22semidirect
152. #17988731C22semidirect
154. #17988730C22semidirect
155. #17988730C22semidirect
156. #17988730C22semidirect
158. #17988729C22semidirect
159. #17988727C22semidirect
160. #17988726C22semidirect
161. #17988724C22semidirect
162. #17988724C22semidirect
166. #17988719C22semidirect
167. #17988649C22semidirect
168. #17988649C22semidirect
169. #17988645C22semidirect
170. #17988645C22semidirect
171. #17988643C22semidirect
172. #17988640C22semidirect
173. #17988639C22semidirect
174. #17988609C22semidirect
175. C4⋊C8×D73C22semidirect
176. #17988594C22semidirect
178. #17988587C22semidirect
180. #17988582C22semidirect
182. #103×D73C22semidirect
186. #17988544C22semidirect
187. #17988544C22semidirect
188. #532×C73C22semidirect
189. C2×#124×C73C22semidirect
190. #496×C73C22semidirect
191. #496×C73C22semidirect
192. #489×C73C22semidirect
193. #489×C73C22semidirect
194. #463×C73C22semidirect
195. #463×C73C22semidirect
196. #463×C73C22semidirect
197. #463×C73C22semidirect
198. #448×C73C22semidirect
199. #448×C73C22semidirect
201. #447×C73C22semidirect
202. #432×C73C22semidirect
962. #3213D73semidirect
980. C73#60834semidirect
1022. #532C2×D73semidirect
1028. C2×#124C2×D73semidirect
1040. #496C2×D73semidirect
1041. #496C2×D73semidirect
1056. #489C2×D73semidirect
1057. #489C2×D73semidirect
1086. #463C2×D73semidirect
1087. #463C2×D73semidirect
1088. #463C2×D73semidirect
1089. #463C2×D73semidirect
1122. #448C2×D73semidirect
1123. #448C2×D73semidirect
1129. #447C2×D73semidirect
1135. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237212
#226233452
#226210412
#226210382
#226210262
#226210212
#226209882
#226209872
#226209772
#226209762
#226209702
#226209672
#226209162
#226208962
#226208942
#226208632
#226208602
#226204152
#226204042
#226202932
#226202822
#226194202
#226193932
#226193832
#463×D732
#226192412
#226192302
#226192122
#226191942
#226185982
C73×#32132
#6083473