Finite Group Databasebeta

← #33972854

Subgroups — #33972854

Order 18688.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624319C211yesmaximal, characteristic, complemented
2#22623687C211yesmaximal, characteristic, complemented
3#22622088C211yesmaximal, characteristic, complemented
4#22622085C211yesmaximal, characteristic, complemented
5#22622024C211yesmaximal, characteristic, complemented
6#22622021C211yesmaximal, characteristic, complemented
7#22622015C211yesmaximal, characteristic, complemented
8#22622008C211yesmaximal, characteristic, complemented
9#22621951C211yesmaximal, characteristic, complemented
10#22621491C211yesmaximal, characteristic, complemented
11#22621488C211yesmaximal, characteristic, complemented
12#22621454C211yesmaximal, characteristic, complemented
13#22621453C211yesmaximal, characteristic, complemented
14#22621448C211yesmaximal, characteristic, complemented
15#22621445C211yesmaximal, characteristic, complemented
16#22621422C211yesmaximal, characteristic, complemented
17#22621421C211yesmaximal, characteristic, complemented
18#22620969C211yesmaximal, characteristic, complemented
19#22620940C211yesmaximal, characteristic, complemented
20#22620831C211yesmaximal, characteristic, complemented
21#22620829C211yesmaximal, characteristic, complemented
22#22620811C211yesmaximal, characteristic, complemented
23#22620806C211yesmaximal, characteristic, complemented
24#22620074C211yesmaximal, characteristic, complemented
25#22620028C211yesmaximal, characteristic, complemented
26#22619240C211yesmaximal, characteristic, complemented
27#22619236C211yesmaximal, characteristic, complemented
28#22619209C211yesmaximal, characteristic, complemented
29#22619203C211yesmaximal, characteristic, complemented
30#22618999C211yesmaximal, characteristic, complemented
31C73×#3310C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C2×#14556636C2211yescharacteristic
34C2×#14556624C2211yescharacteristic, complemented
35C2×#14556620C2211yescharacteristic, complemented
36C2×#14556618C2211yescharacteristic, complemented
37C2×#14556617C2211yescharacteristic, complemented
38C2×#14556613C2211yescharacteristic, complemented
39C2×#14556612C2211yescharacteristic, complemented
40C22×#11924016C2211yescharacteristic, complemented
41C2×SD16×D73C2211yescharacteristic, complemented
42#17989335—21no—
43#17989334—21no—
44#17989300—21no—
45#17989300C2211yescharacteristic, complemented
46#17989292C2211yescharacteristic, complemented
47#17989288—21no—
48#17989275C2211yescharacteristic, complemented
49#17989250C2211yescharacteristic, complemented
50#17989249C2211yescharacteristic, complemented
51#17989246C2211yescharacteristic, complemented
52#17989242C2211yescharacteristic
53#17989241C2211yescharacteristic
54#17989239C2211yescharacteristic, complemented
55#17989237—21no—
56#17989234C2211yescharacteristic
57#17989234C2211yescharacteristic
58#17989231C2211yescharacteristic
59#17989231C2211yescharacteristic
60#17989224—21no—
61#17989224—21no—
62#17989222C2211yescharacteristic
63D4×C22⋊D73—21no—
64#17989217—21no—
65#17989208—21no—
66#17989203—21no—
67#17989189—21no—
68#17989168C2211yescharacteristic, complemented
69#17989167C2211yescharacteristic, complemented
70#17989166C2211yescharacteristic
71#17989166C2211yescharacteristic
72#17989163C2211yescharacteristic, complemented
73#17989160C2211yescharacteristic, complemented
74#17989147—21no—
75#17989147—21no—
76#17989141C2211yescharacteristic, complemented
77#17989135C2211yescharacteristic
78#17989134C2211yescharacteristic
79#17989122C2211yescharacteristic, complemented
80C2×#14556562—21no—
81#121×D73—21no—
82C4×D4×D73C2211yescharacteristic
83#17988981C2211yescharacteristic, complemented
84#17988978C2211yescharacteristic, complemented
85#17988978C2211yescharacteristic, complemented
86#17988974C2211yescharacteristic, complemented
87#17988957C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988945C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988922C2211yescharacteristic, complemented
95#17988921C2211yescharacteristic, complemented
96#17988919C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988884C2211yescharacteristic, complemented
101#17988866C2211yescharacteristic, complemented
102#17988865C2211yescharacteristic, complemented
103#17988846C2211yescharacteristic, complemented
104#17988843C2211yescharacteristic, complemented
105#17988834C2211yescharacteristic, complemented
106#17988833C2211yescharacteristic, complemented
107#17988832C2211yescharacteristic, complemented
108#17988832C2211yescharacteristic, complemented
109#17988831C2211yescharacteristic, complemented
110#17988829C2211yescharacteristic, complemented
111#17988829C2211yescharacteristic, complemented
112#17988828C2211yescharacteristic, complemented
113#17988826C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988803C2211yescharacteristic, complemented
120#17988802C2211yescharacteristic, complemented
121#17988801C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic, complemented
123#17988798C2211yescharacteristic, complemented
124#17988797C2211yescharacteristic, complemented
125#17988791C2211yescharacteristic, complemented
126#17988790C2211yescharacteristic, complemented
127#17988784C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic, complemented
133#17988750C2211yescharacteristic, complemented
134#17988750C2211yescharacteristic, complemented
135#17988750C2211yescharacteristic, complemented
136#17988750C2211yescharacteristic, complemented
137#17988750C2211yescharacteristic, complemented
138#17988747C2211yescharacteristic, complemented
139#17988747C2211yescharacteristic, complemented
140#17988746C2211yescharacteristic, complemented
141#17988746C2211yescharacteristic, complemented
142#17988745C2211yescharacteristic, complemented
143#17988744C2211yescharacteristic, complemented
144#17988739C2211yescharacteristic
145#17988739C2211yescharacteristic
146#17988739C2211yescharacteristic, complemented
147#17988739C2211yescharacteristic, complemented
148#17988739C2211yescharacteristic, complemented
149#17988738C2211yescharacteristic, complemented
150#17988736C2211yescharacteristic
151#17988734C2211yescharacteristic, complemented
152#17988733C2211yescharacteristic, complemented
153#17988733C2211yescharacteristic, complemented
154#17988733C2211yescharacteristic, complemented
155#17988731C2211yescharacteristic, complemented
156#17988730C2211yescharacteristic, complemented
157#17988725C2211yescharacteristic, complemented
158#17988724C2211yescharacteristic, complemented
159#17988722C2211yescharacteristic
160#17988722C2211yescharacteristic, complemented
161#17988721C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic, complemented
163#17988696C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988687C2211yescharacteristic, complemented
166#17988686C2211yescharacteristic, complemented
167#17988685C2211yescharacteristic, complemented
168#17988684C2211yescharacteristic, complemented
169#17988661C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174#17988656C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176#17988643C2211yescharacteristic, complemented
177#17988642C2211yescharacteristic, complemented
178#17988590C2211yescharacteristic, complemented
179#17988586C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic, complemented
181#17988581C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988553C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#17988552C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203#14556636—42no—
204#14556636—42no—
205#14556636—42no—
206#14556636—42no—
207C2×#11924029C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924027—21no—
214C2×#11924027—21no—
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C2×#11924027C2311yescharacteristic
219C22×Dic146C2311yescharacteristic
220C2×Q8×D73C2311yescharacteristic
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
231C22×C4×D73—21no—
232#14556624—42no—
233#14556620—42no—
234#14556618—42no—
235#14556617—42no—
236#14556613—42no—
237#14556612—42no—
238C2×Dic292C2311yescharacteristic
239C2×Dic292C2311yescharacteristic
240C2×Dic292C2311yescharacteristic
241C2×Dic292C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924018C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924016—42no—
249C2×#11924016C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×#11924016C2311yescharacteristic
252C2×#11924016C2311yescharacteristic
253C2×#11924016C2311yescharacteristic
254C2×#11924016C2311yescharacteristic
255C2×#11924015C2311yescharacteristic
256SD16×D73—42no—
257C2×D584C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924012C2311yescharacteristic
262C2×#11924011C2311yescharacteristic
263C2×#11924011C2311yescharacteristic
264C22×#10596831C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266C2×C8×D73C2311yescharacteristic
267#14556591—21no—
268#14556591C2311yescharacteristic
269#14556590—21no—
270#14556590—21no—
271#14556590D411yescharacteristic
272#14556590C2311yescharacteristic
273#14556589C2311yescharacteristic
274#14556587D411yescharacteristic
275#14556586—21no—
276#14556586—21no—
277#14556582—21no—
278#14556581—21no—
279#14556581—21no—
280#14556579—21no—
281#14556579—21no—
282#14556579—21no—
283#14556579C2311yescharacteristic
284#14556578C2311yescharacteristic
285#14556578C2311yescharacteristic
286#14556577—21no—
287#14556577—21no—
288#14556577—21no—
289#14556577D411yescharacteristic
290#14556577D411yescharacteristic
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556575—21no—
296#14556575—21no—
297#14556575—21no—
298#14556575—21no—
299#14556573—21no—
300#14556573—21no—
301#14556573—21no—
302#14556573—21no—
303#14556573—21no—
304#14556573—21no—
305#14556572—21no—
306#14556572—21no—
307#14556571—21no—
308#14556571—21no—
309#14556571C2311yescharacteristic
310#14556571C2311yescharacteristic
311#14556571C2311yescharacteristic
312#14556571C2311yescharacteristic
313#14556571C2311yescharacteristic
314#14556571C2311yescharacteristic
315#14556571C2311yescharacteristic
316#14556570—21no—
317#14556570C2311yescharacteristic
318#14556570C2311yescharacteristic
319#14556570C2311yescharacteristic
320#14556569—21no—
321#14556569—21no—
322#14556569—21no—
323#14556569—21no—
324#14556569—21no—
325#14556568—21no—
326#14556568—21no—
327#14556568—21no—
328#14556567C2311yescharacteristic
329#14556566—21no—
330#14556566—21no—
331#14556566—21no—
332#14556566D411yescharacteristic
333#14556566C2311yescharacteristic
334#14556566C2311yescharacteristic
335#14556565—21no—
336#14556565—21no—
337#14556565—21no—
338#14556565C2311yescharacteristic
339#14556564—21no—
340#14556564—21no—
341#14556564—21no—
342#14556564—21no—
343#14556564—21no—
344#14556564—21no—
345#14556564D411yescharacteristic
346#14556564D411yescharacteristic
347#14556563—21no—
348#14556563—21no—
349#14556563—21no—
350#14556563—21no—
351#14556563—21no—
352#14556562—21no—
353#14556562—21no—
354#14556562—21no—
355#14556562—21no—
356#14556562—21no—
357#14556562—21no—
358#14556562—21no—
359#14556562—21no—
360#14556562D411yescharacteristic
361#14556562C2311yescharacteristic
362#14556562C2311yescharacteristic
363#14556560—21no—
364#14556560—21no—
365#14556559—21no—
366#14556559—21no—
367#14556559—21no—
368#14556559—21no—
369C4×Dic146—21no—
370C4×Dic146C2311yescharacteristic
371#14556556C2311yescharacteristic
372C4×D292—21no—
373C4×D292C2311yescharacteristic
374C4×D292C2311yescharacteristic
375D4×Dic73—21no—
376D4×Dic73—21no—
377D4×Dic73C2311yescharacteristic
378#14556553—21no—
379#14556553C2311yescharacteristic
380#14556553C2311yescharacteristic
381C4×C22⋊D73—21no—
382C4×C22⋊D73—21no—
383C4×C22⋊D73C2311yescharacteristic
384C4×C22⋊D73C2311yescharacteristic
385#14556551—21no—
386#14556551—21no—
387#14556551—21no—
388#14556549—21no—
389#14556549—21no—
390#14556549C2311yescharacteristic
391#14556548—21no—
392#14556548—21no—
393C2×C4⋊Dic73—21no—
394C4⋊C4×D73—21no—
395C4⋊C4×D73—21no—
396C4⋊C4×D73C2311yescharacteristic
397C4⋊C4×D73C2311yescharacteristic
398C2×C22⋊Dic73—21no—
399C2×C22⋊Dic73—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403C42×D73C2311yescharacteristic
404#14556525C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556524C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556502C2311yescharacteristic
445#14556501C2311yescharacteristic
446#14556501C2311yescharacteristic
447C22×D4×C73—21no—
448C22×D4×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×M16×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455#127×C73C2311yescharacteristic
456#126×C73—21no—
457#125×C73—21no—
458#125×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#120×C73—21no—
466#120×C73—21no—
467C4×Q8×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470#117×C73—21no—
471#117×C73C2311yescharacteristic
472C2×C4⋊C4×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×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—
493#11924029—41no—
494#11924029—41no—
495#11924028—22no—
496#11924028—22no—
497#11924028—41no—
498#11924028—41no—
499#11924028—41no—
500#11924028—41no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
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—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146—41no—
519C2×Dic146—41no—
520C2×Dic146C2×D411yescharacteristic
521C2×Dic146C2×D411yescharacteristic
522C2×Dic146C2411yescharacteristic
523C2×Dic146C2411yescharacteristic
524C2×Dic146C2411yescharacteristic
525C2×Dic146C2411yescharacteristic
526Q8×D73—41no—
527Q8×D73—41no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292C2×D411yescharacteristic
532C2×D292C2×D411yescharacteristic
533C2×D292C2×D411yescharacteristic
534C2×D292C2411yescharacteristic
535C2×D292C2411yescharacteristic
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—44no—
550C2×C22⋊D73—44no—
551C2×C22⋊D73—44no—
552C2×C22⋊D73—44no—
553C2×C22⋊D73C2×D411yescharacteristic
554C2×C22⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558C2×C22⋊D73C2×D411yescharacteristic
559D4×D73—22no—
560D4×D73—22no—
561D4×D73—22no—
562D4×D73—22no—
563D4×D73—41no—
564D4×D73—41no—
565D4×D73—44no—
566D4×D73—44no—
567D4×D73—82no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C22×Dic73—21no—
572C22×Dic73—21no—
573C22×Dic73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—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—82no—
585C2×C4×D73C2×D411yescharacteristic
586C2×C4×D73C2×D411yescharacteristic
587C2×C4×D73C2411yescharacteristic
588C2×C4×D73C2411yescharacteristic
589C2×C4×D73C2411yescharacteristic
590Dic292—41no—
591Dic292—41no—
592Dic292—41no—
593Dic292—41no—
594#11924018—41no—
595#11924018—41no—
596#11924017—22no—
597#11924017—22no—
598#11924017—41no—
599#11924017—41no—
600#11924016—22no—
601#11924016—22no—
602#11924016—41no—
603#11924016—41no—
604#11924016—41no—
605#11924016—41no—
606#11924015—22no—
607D584—22no—
608#11924013—22no—
609#11924013—41no—
610#11924013—41no—
611#11924012—41no—
612#11924011—41no—
613#11924011—41no—
614C2×#10596831—41no—
615C2×#10596831C2411yescharacteristic
616C2×#10596831C2411yescharacteristic
617C2×#10596831C2411yescharacteristic
618C2×#10596831C2411yescharacteristic
619C8×D73—41no—
620C8×D73—41no—
621C4⋊Dic73—21no—
622C4⋊Dic73—21no—
623C4⋊Dic73—21no—
624C4⋊Dic73—21no—
625C4⋊Dic73—21no—
626C4⋊Dic73—21no—
627C4⋊Dic73—21no—
628C4⋊Dic73—21no—
629C4⋊Dic73—21no—
630C4⋊Dic73C2×D411yescharacteristic
631C4⋊Dic73C2411yescharacteristic
632C4⋊Dic73C2411yescharacteristic
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007—21no—
640#11924007—21no—
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007C2×D411yescharacteristic
645#11924007C2×D411yescharacteristic
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⋊Dic73—21no—
656C22⋊Dic73C2×D411yescharacteristic
657C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677#11924005C2×D411yescharacteristic
678#11924005C2×D411yescharacteristic
679C4×Dic73—21no—
680C4×Dic73—21no—
681C4×Dic73—21no—
682C4×Dic73C2×D411yescharacteristic
683C4×Dic73C2×D411yescharacteristic
684C4×Dic73C2411yescharacteristic
685C24×C73—21no—
686C24×C73—21no—
687C2×Q8×C73C2411yescharacteristic
688C2×D4×C73—22no—
689C2×D4×C73—22no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—41no—
697C2×D4×C73—41no—
698C2×D4×C73—82no—
699C2×D4×C73C2×D411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C2×D4×C73C2411yescharacteristic
702C2×D4×C73C2411yescharacteristic
703C22×C4×C73—21no—
704C22×C4×C73—21no—
705C22×C4×C73C2411yescharacteristic
706C22×C4×C73C2411yescharacteristic
707SD16×C73—22no—
708SD16×C73—41no—
709SD16×C73—41no—
710M16×C73—41no—
711C2×C8×C73—41no—
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C2×C8×C73C2411yescharacteristic
715C2×C8×C73C2411yescharacteristic
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73C2×D411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
734C22⋊C4×C73C2×D411yescharacteristic
735C42×C73—21no—
736C42×C73—21no—
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—42no—
742C23×C73—42no—
743C23×C73—81no—
744C23×C73—81no—
745C23×C73—81no—
746C23×C73—81no—
747C23×C73C22×D411yescharacteristic
748C23×C73C22×D411yescharacteristic
749C22×D73—21no—
750C22×D73—24no—
751C22×D73—21no—
752C22×D73—42no—
753C22×D73—42no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73C22×D411yescharacteristic
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763Q8×C73—21no—
764Q8×C73—21no—
765D4×C73—21no—
766D4×C73—21no—
767D4×C73—21no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—41no—
771D4×C73—42no—
772D4×C73—42no—
773D4×C73—42no—
774D4×C73—81no—
775D4×C73—81no—
776D4×C73—81no—
777D4×C73H(5,𝔽2)12yes—
778C2×C4×C73—21no—
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—21no—
786C2×C4×C73—21no—
787C2×C4×C73—42no—
788C2×C4×C73—81no—
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C22×D411yescharacteristic
793C2×C4×C73C2511yescharacteristic
794C22⋊D73—24no—
795C22⋊D73—41no—
796C22⋊D73—41no—
797C22⋊D73—41no—
798C22⋊D73—41no—
799C22⋊D73—41no—
800C22⋊D73—41no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—81no—
810C22⋊D73—81no—
811C22⋊D73—81no—
812C22⋊D73—81no—
813C2×Dic73—21no—
814C2×Dic73—21no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—21no—
818C2×Dic73—21no—
819C2×Dic73—42no—
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
830D292—21no—
831D292—21no—
832D292—21no—
833D292—41no—
834D292—41no—
835D292—41no—
836D292—81no—
837D292—81no—
838D292—81no—
839D292H(5,𝔽2)12yes—
840C4×D73—21no—
841C4×D73—21no—
842C4×D73—21no—
843C4×D73—21no—
844C4×D73—21no—
845C4×D73—21no—
846C4×D73—41no—
847C4×D73—41no—
848C4×D73—42no—
849C4×D73—42no—
850C4×D73—42no—
851C4×D73—42no—
852C4×D73—81no—
853C4×D73—81no—
854C4×D73—81no—
855C4×D73—81no—
856C4×D73—81no—
857C4×D73—81no—
858Dic146—21no—
859Dic146—21no—
860Dic146—21no—
861Dic146—21no—
862Dic146—21no—
863Dic146—21no—
864Dic146—21no—
865Dic146—21no—
866Dic146—41no—
867Dic146—41no—
868Dic146—81no—
869Dic146—81no—
870Dic146—81no—
871C8×C73—21no—
872C8×C73—21no—
873C8×C73—21no—
874C8×C73—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878#10596831—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—22no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—41no—
894C22×C73—162no—
895C22×C73—162no—
896C22×C73C23×D411yescharacteristic
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—21no—
900C2×D73—21no—
901C2×D73—21no—
902C2×D73—21no—
903C2×D73—21no—
904C2×D73—21no—
905C2×D73—21no—
906C2×D73—22no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—41no—
912C2×D73—84no—
913C2×D73—162no—
914C2×D73—162no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—21no—
918C4×C73—21no—
919C4×C73—41no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73—41no—
923C4×C73—41no—
924C4×C73C2×H(5,𝔽2)11yescharacteristic
925C4×C73C2×H(5,𝔽2)11yescharacteristic
926Dic73—21no—
927Dic73—21no—
928Dic73—21no—
929Dic73—21no—
930Dic73—21no—
931Dic73—41no—
932Dic73—41no—
933Dic73—41no—
934Dic73—41no—
935Dic73—41no—
936Dic73—41no—
937#61670—731nomaximal, Sylow
938C2×C73—42no—
939C2×C73—41no—
940C2×C73—41no—
941C2×C73—81no—
942C2×C73—81no—
943C2×C73#348411yescharacteristic
944C2×C73#358511yescharacteristic
945C2×C73#358611yescharacteristic
946D73—41no—
947D73—41no—
948D73—41no—
949D73—42no—
950D73—81no—
951#3547—731no—
952#3496—731no—
953#3319—731no—
954#3319—731no—
955#3315—731no—
956#3315—731no—
957#3314—731no—
958#3314—731no—
959#3310—731no—
960#3310D7311yescharacteristic, complemented
961#3269—731no—
962#3269—731no—
963#3267—731no—
964#3267—731no—
965#3266—731no—
966#3266—731no—
967#3265—731no—
968#3265—731no—
969#3219—731no—
970#3216—731no—
971#3203—731no—
972#3203—731no—
973#3201—731no—
974#3201—731no—
975#3114—731no—
976#3110—731no—
977#3012—731no—
978#3012—731no—
979#3009—731no—
980#3009—731no—
981#2980—731no—
982C73#6167011yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—731no—
984C2×H(5,𝔽2)—731no—
985C2×#137—731no—
986C2×#137—731no—
987C2×AGL(1,ℤ/8)—731no—
988C2×AGL(1,ℤ/8)—731no—
989C2×#135—731no—
990C2×#135—731no—
991C22×SD16—731no—
992C22×SD16—731no—
993#562—1461no—
994#562—1461no—
995#555—731no—
996#555—1461no—
997#554—731no—
998#553—1461no—
999#552—731no—
1000#552C2×D7311yescharacteristic, complemented
1001D4×Q8—731no—
1002#548—731no—
1003#548—731no—
1004#547—731no—
1005#547—731no—
1006#547—731no—
1007#547—1461no—
1008#546—731no—
1009#546—731no—
1010#546—731no—
1011#546—731no—
1012#546—1461no—
1013#546—1461no—
1014D42—731no—
1015D42—1461no—
1016D42C2×D7311yescharacteristic
1017#544—1461no—
1018#542—1461no—
1019#542—1461no—
1020#540—1461no—
1021#537—731no—
1022#537—731no—
1023#537—731no—
1024#537—731no—
1025#536—731no—
1026#536—731no—
1027#534—1461no—
1028#534—1461no—
1029#533—731no—
1030#532—731no—
1031#532—731no—
1032#529—731no—
1033C2×#121—1461no—
1034C2×#121—1461no—
1035C2×C4×D4—731no—
1036#497—731no—
1037#497—731no—
1038#497—731no—
1039#496—731no—
1040#491—731no—
1041#490C2×D7311yescharacteristic, complemented
1042#489—731no—
1043#489—731no—
1044#485—731no—
1045#485—731no—
1046#484—731no—
1047#484—731no—
1048#484—731no—
1049#484—731no—
1050#483—731no—
1051#482—731no—
1052#482C2×D7311yescharacteristic, complemented
1053#480—731no—
1054#480—731no—
1055#480C2×D7311yescharacteristic, complemented
1056#478—731no—
1057#478C2×D7311yescharacteristic, complemented
1058#474—731no—
1059#474—731no—
1060#470—731no—
1061#470—731no—
1062#468—731no—
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468—731no—
1067#468C2×D7311yescharacteristic, complemented
1068#467—731no—
1069#467—731no—
1070#467—731no—
1071#467—731no—
1072#466—731no—
1073#466—731no—
1074#465—731no—
1075#465C2×D7311yescharacteristic, complemented
1076#464—731no—
1077#464—731no—
1078#463—731no—
1079#463—731no—
1080#463—731no—
1081#463—731no—
1082#462—731no—
1083#462—731no—
1084#461—731no—
1085#461—731no—
1086#460—731no—
1087#460C2×D7311yescharacteristic, complemented
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452—731no—
1095#452—731no—
1096#452—731no—
1097#452—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#450—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450—731no—
1111#450C2×D7311yescharacteristic, complemented
1112#450C2×D7311yescharacteristic, complemented
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449—731no—
1119#448—731no—
1120#448—731no—
1121#447—731no—
1122#447—731no—
1123#447—731no—
1124#442—731no—
1125#442—731no—
1126#440—731no—
1127#440—731no—
1128#440—731no—
1129#440—731no—
1130#440—731no—
1131#440C2×D7311yescharacteristic, complemented
1132#435—731no—
1133#435—731no—
1134#435—731no—
1135#435—731no—
1136#435—731no—
1137#435—731no—
1138#435—731no—
1139#435C2×D7311yescharacteristic, complemented
1140#432—731no—
1141#432—731no—
1142#418—731no—
1143#418C2×D7311yescharacteristic, complemented
1144#417—731no—
1145#417—731no—
1146#416—731no—
1147#416—731no—
1148C2×#102—731no—
1149C2×#102C2×D7311yescharacteristic, complemented
1150#408—731no—
1151#408—731no—
1152#408—731no—
1153#408—731no—
1154H(5,𝔽2)—2922no—
1155H(5,𝔽2)—2922no—
1156H(5,𝔽2)—2922no—
1157H(5,𝔽2)—2922no—
1158C2×#41—731no—
1159C2×#41—731no—
1160C2×#41—731no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—731no—
1164C2×#41—731no—
1165C2×#41—731no—
1166C2×#41—731no—
1167C2×#41—731no—
1168C2×#41—1461no—
1169C2×#41—1461no—
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×D4—21no—
1173C22×D4—731no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—1461no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C22×D4—1461no—
1182C22×D4—1461no—
1183C22×D4C22×D7311yescharacteristic
1184C22×D4C22×D7311yescharacteristic
1185C23×C4—1461no—
1186#137—2922no—
1187#137—2922no—
1188AGL(1,ℤ/8)—2922no—
1189AGL(1,ℤ/8)—2922no—
1190#135—2922no—
1191#135—2922no—
1192C2×Q16—731no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16—731no—
1196C2×Q16—731no—
1197C2×Q16—731no—
1198C2×SD16—2922no—
1199C2×SD16—2922no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16—731no—
1209C2×SD16—731no—
1210C2×SD16—731no—
1211C2×SD16C22×D7311yescharacteristic
1212C2×SD16C22×D7311yescharacteristic
1213C2×SD16C22×D7311yescharacteristic
1214C2×D8—731no—
1215C2×D8—731no—
1216C2×D8—731no—
1217C2×D8—731no—
1218C2×M16—731no—
1219C2×M16—731no—
1220C2×M16—731no—
1221C2×M16C22×D7311yescharacteristic
1222C22×C8—731no—
1223C22×C8—731no—
1224C22×C8—731no—
1225C22×C8C22×D7311yescharacteristic
1226C4⋊Q8—731no—
1227C4⋊Q8—731no—
1228C4⋊Q8—731no—
1229C4⋊Q8—731no—
1230C4⋊Q8—1461no—
1231C4⋊Q8—1461no—
1232C4⋊Q8—1461no—
1233#127—731no—
1234#127C22×D7311yescharacteristic
1235#126—21no—
1236#126—1461no—
1237#126—1461no—
1238#125—21no—
1239#125—1461no—
1240#125—1461no—
1241#125—1461no—
1242#125C22×D7311yescharacteristic
1243#124—731no—
1244#124—731no—
1245#124—731no—
1246#124—731no—
1247#124—731no—
1248#124—1461no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124—1461no—
1254#123—21no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
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⋊Q8C22×D7311yescharacteristic
1294C22⋊Q8C22×D7311yescharacteristic
1295#121—21no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
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#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121C22×D7311yescharacteristic
1331#121C22×D7311yescharacteristic
1332#120—21no—
1333#120—21no—
1334#120—1461no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340C4×Q8—731no—
1341C4×Q8—731no—
1342C4×Q8—1461no—
1343C4×Q8C22×D7311yescharacteristic
1344C4×D4—731no—
1345C4×D4—731no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—731no—
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×D4C22×D7311yescharacteristic
1361C4×D4C22×D7311yescharacteristic
1362#117—21no—
1363#117—731no—
1364#117—1461no—
1365#117—1461no—
1366#117—1461no—
1367#117—1461no—
1368#117C22×D7311yescharacteristic
1369C2×C4⋊C4—731no—
1370C2×C4⋊C4—731no—
1371C2×C4⋊C4—1461no—
1372C2×C4⋊C4—1461no—
1373C2×C4⋊C4—1461no—
1374C2×C4⋊C4C22×D7311yescharacteristic
1375C2×C22⋊C4—1461no—
1376C2×C22⋊C4—1461no—
1377C2×C22⋊C4—1461no—
1378C2×C22⋊C4—1461no—
1379C2×C22⋊C4—1461no—
1380C2×C42—731no—
1381#107—731no—
1382#107—731no—
1383#107—731no—
1384#107—731no—
1385#107C22×D7311yescharacteristic
1386#107C22×D7311yescharacteristic
1387#106—731no—
1388#106C22×D7311yescharacteristic
1389C4⋊C8—731no—
1390C4⋊C8—731no—
1391C4⋊C8—731no—
1392C4⋊C8C22×D7311yescharacteristic
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#103—731no—
1404#103—731no—
1405#103—731no—
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#102C22×D7311yescharacteristic
1417#102C22×D7311yescharacteristic
1418#102C22×D7311yescharacteristic
1419#102C22×D7311yescharacteristic
1420#102C22×D7311yescharacteristic
1421#102C22×D7311yescharacteristic
1422#102C22×D7311yescharacteristic
1423#102C22×D7311yescharacteristic
1424#102C22×D7311yescharacteristic
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8—731no—
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8C22×D7311yescharacteristic
1436C22⋊C8C22×D7311yescharacteristic
1437#97—731no—
1438#97—731no—
1439#97—731no—
1440#97C22×D7311yescharacteristic
1441C24—21no—
1442C24—21no—
1443C24—1461no—
1444C24—1461no—
1445C24—1461no—
1446#41—2921no—
1447#41—2921no—
1448#41—2921no—
1449#41—2921no—
1450#41—2921no—
1451#41—2921no—
1452#41—2921no—
1453#41—2921no—
1454#41—2924no—
1455#41—2924no—
1456#41—2921no—
1457#41—2921no—
1458#41—2921no—
1459#41—2921no—
1460#41—2921no—
1461#41—2921no—
1462#41—2921no—
1463#41—2921no—
1464#41—1462no—
1465#41—1462no—
1466#41—1462no—
1467#41—1462no—
1468C2×Q8—2921no—
1469C2×Q8—2921no—
1470C2×Q8—2921no—
1471C2×Q8—2921no—
1472C2×Q8—731no—
1473C2×Q8—731no—
1474C2×Q8—731no—
1475C2×Q8—731no—
1476C2×Q8—731no—
1477C2×Q8—731no—
1478C2×Q8—1461no—
1479C2×Q8—1461no—
1480C2×Q8—1461no—
1481C2×Q8C23×D7311yescharacteristic
1482C2×D4—22no—
1483C2×D4—22no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—41no—
1491C2×D4—41no—
1492C2×D4—82no—
1493C2×D4—2924no—
1494C2×D4—2924no—
1495C2×D4—2924no—
1496C2×D4—2924no—
1497C2×D4—2924no—
1498C2×D4—2924no—
1499C2×D4—2921no—
1500C2×D4—2921no—
1501C2×D4—5842no—
1502C2×D4—731no—
1503C2×D4—731no—
1504C2×D4—731no—
1505C2×D4—731no—
1506C2×D4—731no—
1507C2×D4—731no—
1508C2×D4—731no—
1509C2×D4—731no—
1510C2×D4—731no—
1511C2×D4—731no—
1512C2×D4—731no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1462no—
1520C2×D4—1462no—
1521C2×D4—1462no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4—1462no—
1533C2×D4D4×D7311yescharacteristic
1534C2×D4C23×D7311yescharacteristic
1535C2×D4C23×D7311yescharacteristic
1536C2×D4C23×D7311yescharacteristic
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—5842no—
1540C22×C4—731no—
1541C22×C4—731no—
1542C22×C4—731no—
1543C22×C4—731no—
1544C22×C4—731no—
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×C4—1461no—
1556C22×C4—1461no—
1557C22×C4—1461no—
1558C22×C4—1461no—
1559C22×C4—1461no—
1560C22×C4—1461no—
1561C22×C4C23×D7311yescharacteristic
1562C22×C4C23×D7311yescharacteristic
1563Q16—2921no—
1564Q16—2921no—
1565Q16—2921no—
1566Q16—2921no—
1567Q16—2921no—
1568Q16—2921no—
1569SD16—22no—
1570SD16—41no—
1571SD16—41no—
1572SD16—2921no—
1573SD16—2921no—
1574SD16—2921no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578SD16—1462no—
1579SD16—1462no—
1580SD16—1462no—
1581SD16—1462no—
1582SD16—1462no—
1583D8—2921no—
1584D8—2921no—
1585D8—1462no—
1586D8—1462no—
1587M16—41no—
1588M16—2921no—
1589M16—2921no—
1590M16—2921no—
1591C2×C8—41no—
1592C2×C8—2921no—
1593C2×C8—2921no—
1594C2×C8—2921no—
1595C2×C8—731no—
1596C2×C8—731no—
1597C2×C8—731no—
1598C2×C8—731no—
1599C2×C8C23×D7311yescharacteristic
1600C2×C8C23×D7311yescharacteristic
1601C2×C8C23×D7311yescharacteristic
1602C2×C8C23×D7311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—731no—
1610C4⋊C4—731no—
1611C4⋊C4—731no—
1612C4⋊C4—731no—
1613C4⋊C4—731no—
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⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4D4×D7311yescharacteristic
1635C4⋊C4C23×D7311yescharacteristic
1636C4⋊C4C23×D7311yescharacteristic
1637C4⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—731no—
1646C22⋊C4—731no—
1647C22⋊C4—731no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
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—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4D4×D7311yescharacteristic
1679C22⋊C4D4×D7311yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—731no—
1683C42—731no—
1684C42—731no—
1685C42—1461no—
1686C42—1461no—
1687C42—1461no—
1688C42C23×D7311yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—42no—
1693C23—42no—
1694C23—81no—
1695C23—81no—
1696C23—81no—
1697C23—81no—
1698C23—2922no—
1699C23—2922no—
1700C23—5841no—
1701C23—5841no—
1702C23—5841no—
1703C23—5841no—
1704C23—5841no—
1705C23—5841no—
1706C23—731no—
1707C23—731no—
1708C23—731no—
1709C23—1464no—
1710C23—1461no—
1711C23—1461no—
1712C23C2×D4×D7311yescharacteristic
1713C23C2×D4×D7311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—2921no—
1717Q8—2921no—
1718Q8—5841no—
1719Q8—5841no—
1720Q8—5841no—
1721Q8—1461no—
1722Q8—1461no—
1723Q8—1461no—
1724Q8—1461no—
1725Q8—1461no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8—1461no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—41no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4—2921no—
1742D4—2921no—
1743D4—2921no—
1744D4—2922no—
1745D4—2922no—
1746D4—2922no—
1747D4—2922no—
1748D4—2922no—
1749D4—2922no—
1750D4—2921no—
1751D4—2921no—
1752D4—2921no—
1753D4—2921no—
1754D4—2921no—
1755D4—2921no—
1756D4—2922no—
1757D4—2922no—
1758D4—5841no—
1759D4—5841no—
1760D4—5841no—
1761D4—5841no—
1762D4—5841no—
1763D4—5841no—
1764D4—5841no—
1765D4—732no—
1766D4—1464no—
1767D4—1461no—
1768D4—1461no—
1769D4—1461no—
1770D4#1455663712yes—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—42no—
1781C2×C4—81no—
1782C2×C4—2922no—
1783C2×C4—2922no—
1784C2×C4—2922no—
1785C2×C4—2921no—
1786C2×C4—2921no—
1787C2×C4—2922no—
1788C2×C4—2922no—
1789C2×C4—2922no—
1790C2×C4—2922no—
1791C2×C4—2922no—
1792C2×C4—5841no—
1793C2×C4—5841no—
1794C2×C4—5841no—
1795C2×C4—5841no—
1796C2×C4—5841no—
1797C2×C4—5841no—
1798C2×C4—5841no—
1799C2×C4—5841no—
1800C2×C4—731no—
1801C2×C4—731no—
1802C2×C4—731no—
1803C2×C4—731no—
1804C2×C4—731no—
1805C2×C4—1461no—
1806C2×C4—1461no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1461no—
1814C2×C4—1461no—
1815C2×C4—1461no—
1816C2×C4—1461no—
1817C2×C4C2×D4×D7311yescharacteristic
1818C2×C4C2×D4×D7311yescharacteristic
1819C2×C4C2×D4×D7311yescharacteristic
1820C2×C4C2×D4×D7311yescharacteristic
1821C2×C4C24×D7311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1461no—
1827C8—1461no—
1828C8—1461no—
1829C8—1461no—
1830C22—21no—
1831C22—21no—
1832C22—22no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—162no—
1846C22—162no—
1847C22—2921no—
1848C22—2921no—
1849C22—2921no—
1850C22—2921no—
1851C22—2921no—
1852C22—5844no—
1853C22—11682no—
1854C22—11682no—
1855C22—1462no—
1856C22—1461no—
1857C22—1461no—
1858C22—1461no—
1859C22—1461no—
1860C22—1461no—
1861C22—1461no—
1862C22—1461no—
1863C22—1461no—
1864C22—1461no—
1865C22C22×D4×D7311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—2921no—
1876C4—2921no—
1877C4—2921no—
1878C4—2921no—
1879C4—2921no—
1880C4—2921no—
1881C4—1461no—
1882C4—1461no—
1883C4—1461no—
1884C4—1461no—
1885C4—1461no—
1886C4H(5,𝔽2)×D7311yescharacteristic
1887C4C2×#1455663711yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—2922no—
1894C2—2921no—
1895C2—2921no—
1896C2—2921no—
1897C2—5841no—
1898C2#2262356111yescharacteristic
1899C2#2262470711yescharacteristic
1900C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3310C2
socleC22×C73C23×D4
hypercenter#3310D73
hypocenterC73#61670
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #22624319C2semidirect
2. #22623687C2semidirect
3. #22622088C2semidirect
4. #22622085C2semidirect
5. #22622024C2semidirect
6. #22622021C2semidirect
7. #22622015C2semidirect
8. #22622008C2semidirect
9. #22621951C2semidirect
10. #22621491C2semidirect
11. #22621488C2semidirect
12. #22621454C2semidirect
13. #22621453C2semidirect
14. #22621448C2semidirect
15. #22621445C2semidirect
16. #22621422C2semidirect
17. #22621421C2semidirect
18. #22620969C2semidirect
19. #22620940C2semidirect
20. #22620831C2semidirect
21. #22620829C2semidirect
22. #22620811C2semidirect
23. #22620806C2semidirect
24. #22620074C2semidirect
25. #22620028C2semidirect
26. #22619240C2semidirect
27. #22619236C2semidirect
28. #22619209C2semidirect
29. #22619203C2semidirect
30. #22618999C2semidirect
31. C73×#3310C2semidirect
34. C2×#14556624C22semidirect
35. C2×#14556620C22semidirect
36. C2×#14556618C22semidirect
37. C2×#14556617C22semidirect
38. C2×#14556613C22semidirect
39. C2×#14556612C22semidirect
40. C22×#11924016C22semidirect
41. C2×SD16×D73C22semidirect
45. #17989300C22semidirect
46. #17989292C22semidirect
48. #17989275C22semidirect
49. #17989250C22semidirect
50. #17989249C22semidirect
51. #17989246C22semidirect
54. #17989239C22semidirect
68. #17989168C22semidirect
69. #17989167C22semidirect
72. #17989163C22semidirect
73. #17989160C22semidirect
76. #17989141C22semidirect
79. #17989122C22semidirect
83. #17988981C22semidirect
84. #17988978C22semidirect
85. #17988978C22semidirect
86. #17988974C22semidirect
87. #17988957C22semidirect
88. #17988945C22semidirect
89. #17988945C22semidirect
90. #17988931C22semidirect
91. #17988928C22semidirect
92. #17988924C22semidirect
93. #17988924C22semidirect
94. #17988922C22semidirect
95. #17988921C22semidirect
96. #17988919C22semidirect
97. #17988909C22semidirect
98. #17988902C22semidirect
99. #17988899C22semidirect
100. #17988884C22semidirect
101. #17988866C22semidirect
102. #17988865C22semidirect
103. #17988846C22semidirect
104. #17988843C22semidirect
105. #17988834C22semidirect
106. #17988833C22semidirect
107. #17988832C22semidirect
108. #17988832C22semidirect
109. #17988831C22semidirect
110. #17988829C22semidirect
111. #17988829C22semidirect
112. #17988828C22semidirect
113. #17988826C22semidirect
114. #17988822C22semidirect
115. #17988821C22semidirect
116. #17988815C22semidirect
117. #17988808C22semidirect
118. #17988808C22semidirect
119. #17988803C22semidirect
120. #17988802C22semidirect
121. #17988801C22semidirect
122. #17988801C22semidirect
123. #17988798C22semidirect
124. #17988797C22semidirect
125. #17988791C22semidirect
126. #17988790C22semidirect
127. #17988784C22semidirect
128. #17988752C22semidirect
129. #17988751C22semidirect
130. #17988751C22semidirect
131. #17988750C22semidirect
132. #17988750C22semidirect
133. #17988750C22semidirect
134. #17988750C22semidirect
135. #17988750C22semidirect
136. #17988750C22semidirect
137. #17988750C22semidirect
138. #17988747C22semidirect
139. #17988747C22semidirect
140. #17988746C22semidirect
141. #17988746C22semidirect
142. #17988745C22semidirect
143. #17988744C22semidirect
146. #17988739C22semidirect
147. #17988739C22semidirect
148. #17988739C22semidirect
149. #17988738C22semidirect
151. #17988734C22semidirect
152. #17988733C22semidirect
153. #17988733C22semidirect
154. #17988733C22semidirect
155. #17988731C22semidirect
156. #17988730C22semidirect
157. #17988725C22semidirect
158. #17988724C22semidirect
160. #17988722C22semidirect
161. #17988721C22semidirect
162. #17988698C22semidirect
163. #17988696C22semidirect
164. #17988689C22semidirect
165. #17988687C22semidirect
166. #17988686C22semidirect
167. #17988685C22semidirect
168. #17988684C22semidirect
169. #17988661C22semidirect
170. #17988660C22semidirect
171. #17988659C22semidirect
172. #17988658C22semidirect
173. #17988657C22semidirect
174. #17988656C22semidirect
175. #17988655C22semidirect
176. #17988643C22semidirect
177. #17988642C22semidirect
178. #17988590C22semidirect
179. #17988586C22semidirect
180. #17988585C22semidirect
181. #17988581C22semidirect
182. #17988580C22semidirect
183. #102×D73C22semidirect
184. #17988555C22semidirect
185. #17988553C22semidirect
186. #17988552C22semidirect
187. #17988552C22semidirect
188. #552×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #480×C73C22semidirect
193. #478×C73C22semidirect
194. #468×C73C22semidirect
195. #465×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #450×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #418×C73C22semidirect
202. C2×#102×C73C22semidirect
960. #3310D73semidirect
982. C73#61670semidirect
1000. #552C2×D73semidirect
1041. #490C2×D73semidirect
1052. #482C2×D73semidirect
1055. #480C2×D73semidirect
1057. #478C2×D73semidirect
1067. #468C2×D73semidirect
1075. #465C2×D73semidirect
1087. #460C2×D73semidirect
1111. #450C2×D73semidirect
1112. #450C2×D73semidirect
1131. #440C2×D73semidirect
1139. #435C2×D73semidirect
1143. #418C2×D73semidirect
1149. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243192
#226236872
#226220882
#226220852
#226220242
#226220212
#226220152
#226220082
#226219512
#226214912
#226214882
#226214542
#226214532
#226214482
#226214452
#226214222
#226214212
#226209692
#226209402
#226208312
#226208292
#226208112
#226208062
#226200742
#226200282
#226192402
#226192362
#226192092
#226192032
#226189992
C73×#33102
#6167073