Finite Group Databasebeta

← #33969084

Subgroups — #33969084

Order 18688.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623941C211yesmaximal, characteristic, complemented
2#22623866C211yesmaximal, characteristic, complemented
3#22622993C211yesmaximal, characteristic, complemented
4#22622846C211yesmaximal, characteristic, complemented
5#22622765C211yesmaximal, characteristic, complemented
6#22622748C211yesmaximal, characteristic, complemented
7#22622462C211yesmaximal, characteristic, complemented
8#22622432C211yesmaximal, characteristic, complemented
9#22622202C211yesmaximal, characteristic, complemented
10#22622160C211yesmaximal, characteristic, complemented
11#22622100C211yesmaximal, characteristic, complemented
12#22622085C211yesmaximal, characteristic, complemented
13#22621961C211yesmaximal, characteristic, complemented
14#22621916C211yesmaximal, characteristic, complemented
15#22621567C211yesmaximal, characteristic, complemented
16#22621448C211yesmaximal, characteristic, complemented
17#22621433C211yesmaximal, characteristic, complemented
18#22620607C211yesmaximal, characteristic, complemented
19#22620573C211yesmaximal, characteristic, complemented
20#22620530C211yesmaximal, characteristic, complemented
21#22620218C211yesmaximal, characteristic, complemented
22#22620196C211yesmaximal, characteristic, complemented
23#22620167C211yesmaximal, characteristic, complemented
24#22620122C211yesmaximal, characteristic, complemented
25#22620035C211yesmaximal, characteristic, complemented
26#22620027C211yesmaximal, characteristic, complemented
27#22618917C211yesmaximal, characteristic, complemented
28#22618785C211yesmaximal, characteristic, complemented
29#22618772C211yesmaximal, characteristic, complemented
30#22618738C211yesmaximal, characteristic, complemented
31C73×#3353C211yesmaximal, characteristic, complemented
32C2×#14556624C2211yescharacteristic
33C2×#14556619C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989320C2211yescharacteristic
36#17989317C2211yescharacteristic, complemented
37#17989309—21no—
38#17989309C2211yescharacteristic, complemented
39#17989305C2211yescharacteristic
40#17989304—21no—
41#17989304—21no—
42#17989300C2211yescharacteristic, complemented
43#17989299—21no—
44#17989298C2211yescharacteristic
45#17989285C2211yescharacteristic
46#17989282—21no—
47#17989272C2211yescharacteristic
48#17989264—21no—
49#17989260—21no—
50#17989250C2211yescharacteristic, complemented
51#17989247C2211yescharacteristic
52#17989246C2211yescharacteristic, complemented
53#17989234C2211yescharacteristic
54#17989233C2211yescharacteristic
55#17989225—21no—
56#17989221C2211yescharacteristic
57#17989211C2211yescharacteristic
58#17989211C2211yescharacteristic, complemented
59#17989210C2211yescharacteristic, complemented
60#17989203—21no—
61#17989201—21no—
62#17989190C2211yescharacteristic
63#17989183—21no—
64#17989173—21no—
65#17989141—21no—
66#17989139C2211yescharacteristic, complemented
67#17989120—21no—
68#17989118C2211yescharacteristic
69#17989117C2211yescharacteristic
70#17989094—21no—
71#123×D73—21no—
72#17989068C2211yescharacteristic
73#17989064C2211yescharacteristic, complemented
74#17989063C2211yescharacteristic, complemented
75#17989059C2211yescharacteristic
76#17989055C2211yescharacteristic, complemented
77C2×#14556553C2211yescharacteristic
78#17988995C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988978C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic
82#17988971C2211yescharacteristic, complemented
83#17988954C2211yescharacteristic, complemented
84#17988949C2211yescharacteristic, complemented
85#17988949C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988931C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988922C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic
95#17988911C2211yescharacteristic, complemented
96#17988900C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988893C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988879C2211yescharacteristic, complemented
103#17988874C2211yescharacteristic
104#17988866C2211yescharacteristic
105#17988866C2211yescharacteristic
106#17988866C2211yescharacteristic, complemented
107#17988845C2211yescharacteristic, complemented
108#17988843C2211yescharacteristic, complemented
109#17988840C2211yescharacteristic, complemented
110#17988834C2211yescharacteristic
111#17988834C2211yescharacteristic, complemented
112#17988831C2211yescharacteristic
113#17988829C2211yescharacteristic, complemented
114#17988824C2211yescharacteristic
115#17988821C2211yescharacteristic, complemented
116#17988818C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic
122#17988803C2211yescharacteristic
123#17988802C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988791C2211yescharacteristic
126#17988791C2211yescharacteristic, complemented
127#17988786C2211yescharacteristic
128#17988786C2211yescharacteristic
129#17988751C2211yescharacteristic, complemented
130#17988747C2211yescharacteristic
131#17988744C2211yescharacteristic, complemented
132#17988740C2211yescharacteristic
133#17988739C2211yescharacteristic
134#17988737C2211yescharacteristic
135#17988734C2211yescharacteristic
136#17988730C2211yescharacteristic
137#17988728C2211yescharacteristic, complemented
138#17988727C2211yescharacteristic
139#17988725C2211yescharacteristic, complemented
140#17988722C2211yescharacteristic
141#17988717C2211yescharacteristic, complemented
142#17988716C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic
144#17988698C2211yescharacteristic, complemented
145#17988696C2211yescharacteristic, complemented
146#17988693C2211yescharacteristic, complemented
147#17988693C2211yescharacteristic, complemented
148#17988690C2211yescharacteristic
149#17988690C2211yescharacteristic, complemented
150#17988687C2211yescharacteristic, complemented
151#17988686C2211yescharacteristic
152#17988686C2211yescharacteristic
153#17988686C2211yescharacteristic
154#17988686C2211yescharacteristic, complemented
155#17988686C2211yescharacteristic, complemented
156#17988686C2211yescharacteristic, complemented
157#17988685C2211yescharacteristic
158#17988684C2211yescharacteristic, complemented
159#17988681C2211yescharacteristic, complemented
160#17988681C2211yescharacteristic, complemented
161#17988679C2211yescharacteristic, complemented
162#17988678C2211yescharacteristic, complemented
163C4×#11924017C2211yescharacteristic
164SD16×Dic73C2211yescharacteristic, complemented
165#17988674C2211yescharacteristic
166#17988674C2211yescharacteristic
167#17988674C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic
169#17988669C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic
171#17988659C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic
173#17988656C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988622C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988591C2211yescharacteristic
181#17988590C2211yescharacteristic
182#17988586C2211yescharacteristic, complemented
183#17988581C2211yescharacteristic
184C2×#14556514C2211yescharacteristic, complemented
185#17988545C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187M16×Dic73C2211yescharacteristic, complemented
188#556×C73C2211yescharacteristic, complemented
189#547×C73C2211yescharacteristic
190#500×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic
194#482×C73C2211yescharacteristic, complemented
195#475×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic
198#468×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202#428×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C22×Dic146C2311yescharacteristic
206C2×Q8×D73C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211#14556624—24no—
212#14556619—24no—
213C2×Dic292C2311yescharacteristic
214C2×Dic292C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225SD16×D73—24no—
226C2×D584C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556590—21no—
234#14556590—21no—
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556589—21no—
238#14556589—21no—
239#14556589C2311yescharacteristic
240#14556587C2311yescharacteristic
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556586D411yescharacteristic
248#14556585—21no—
249#14556585—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584D411yescharacteristic
253#14556582C2311yescharacteristic
254#14556582C2311yescharacteristic
255#14556581—21no—
256#14556581—21no—
257#14556581D411yescharacteristic
258#14556580—21no—
259#14556580—21no—
260#14556580C2311yescharacteristic
261#14556579—21no—
262#14556579C2311yescharacteristic
263#14556579C2311yescharacteristic
264#14556578C2311yescharacteristic
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556577—21no—
271#14556577D411yescharacteristic
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556575—21no—
277#14556575D411yescharacteristic
278#14556574—21no—
279#14556574—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556572—21no—
285#14556572D411yescharacteristic
286#14556571—21no—
287#14556571—21no—
288#14556571C2311yescharacteristic
289#14556571C2311yescharacteristic
290#14556570C2311yescharacteristic
291#14556570C2311yescharacteristic
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568D411yescharacteristic
299#14556567—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567—21no—
303#14556566C2311yescharacteristic
304#14556566C2311yescharacteristic
305#14556565—21no—
306#14556565C2311yescharacteristic
307#14556565C2311yescharacteristic
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563D411yescharacteristic
315#14556562—21no—
316#14556562—21no—
317#14556561—21no—
318#14556559—21no—
319#14556559—21no—
320#14556559—21no—
321Q8×Dic73C2311yescharacteristic
322C4×Dic146—21no—
323C4×Dic146—21no—
324C4×Dic146—21no—
325C4×Dic146—21no—
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329#14556556—21no—
330#14556556—21no—
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334#14556556C2311yescharacteristic
335#14556556C2311yescharacteristic
336#14556556C2311yescharacteristic
337#14556556C2311yescharacteristic
338C4×D292C2311yescharacteristic
339D4×Dic73—21no—
340D4×Dic73C2311yescharacteristic
341#14556553—21no—
342#14556553—21no—
343#14556553—21no—
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73C2311yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556550—21no—
364#14556550C2311yescharacteristic
365#14556549—21no—
366#14556549—21no—
367#14556549C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556548—21no—
370#14556548—21no—
371#14556548—21no—
372#14556548—21no—
373#14556548C2311yescharacteristic
374#14556547—21no—
375#14556547—21no—
376#14556547—21no—
377#14556547—21no—
378C4⋊C4×D73—21no—
379C4⋊C4×D73—21no—
380C2×#11924005—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C42×D73—21no—
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73—21no—
439C2×SD16×C73C2311yescharacteristic
440C2×M16×C73C2311yescharacteristic
441C2×M16×C73C2311yescharacteristic
442C4⋊Q8×C73C2311yescharacteristic
443C4⋊Q8×C73C2311yescharacteristic
444#126×C73—21no—
445#126×C73—21no—
446#124×C73—21no—
447#123×C73—21no—
448#123×C73—21no—
449C22⋊Q8×C73—21no—
450C22⋊Q8×C73C2311yescharacteristic
451C22⋊Q8×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454C4×Q8×C73—21no—
455C4×Q8×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924028—22no—
484#11924028—22no—
485#11924028—41no—
486#11924028—41no—
487C2×Dic146—22no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—41no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497Q8×D73—22no—
498Q8×D73—41no—
499C2×D292—22no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—41no—
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73C2×D411yescharacteristic
515C2×C22⋊D73C2×D411yescharacteristic
516D4×D73—22no—
517D4×D73—41no—
518D4×D73—82no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73C2×D411yescharacteristic
522C22×Dic73C2×D411yescharacteristic
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—82no—
535C2×C4×D73C2411yescharacteristic
536Dic292—22no—
537Dic292—22no—
538#11924018—41no—
539#11924017—22no—
540#11924017—22no—
541#11924017—41no—
542#11924017—41no—
543#11924017#4114yescomplemented
544#11924016—22no—
545#11924016—41no—
546#11924015—22no—
547#11924015—41no—
548D584—22no—
549D584—22no—
550#11924013—41no—
551#11924012—41no—
552#11924011—41no—
553C2×#10596831—41no—
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C8×D73—22no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73C2×D411yescharacteristic
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2×D411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73C2×D411yescharacteristic
597C22⋊Dic73C2×D411yescharacteristic
598C22⋊Dic73C2×D411yescharacteristic
599C22⋊Dic73C2×D411yescharacteristic
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642#41×C73—82no—
643C2×Q8×C73—21no—
644C2×Q8×C73—21no—
645C2×Q8×C73C2411yescharacteristic
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73C2×D411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73C2411yescharacteristic
654C22×C4×C73C2411yescharacteristic
655SD16×C73—22no—
656M16×C73—22no—
657M16×C73—22no—
658C2×C8×C73C2411yescharacteristic
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C4⋊C4×C73—21no—
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73C2×D411yescharacteristic
670C4⋊C4×C73C2411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73C2×D411yescharacteristic
684C22⋊C4×C73C2×D411yescharacteristic
685C42×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73C22×D411yescharacteristic
691C23×C73C22×D411yescharacteristic
692C22×D73—21no—
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—42no—
696C22×D73—42no—
697C22×D73—42no—
698C22×D73—81no—
699C22×D73—81no—
700C22×D73—81no—
701C22×D73C22×D411yescharacteristic
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—81no—
705Q8×C73—81no—
706D4×C73—21no—
707D4×C73—21no—
708D4×C73—41no—
709D4×C73—42no—
710D4×C73—81no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—42no—
723C2×C4×C73—81no—
724C2×C4×C73—81no—
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C2511yescharacteristic
730C22⋊D73—41no—
731C22⋊D73—41no—
732C22⋊D73—42no—
733C22⋊D73—42no—
734C22⋊D73—42no—
735C22⋊D73—81no—
736C22⋊D73—81no—
737C22⋊D73—81no—
738C22⋊D73—81no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—41no—
745C2×Dic73—41no—
746C2×Dic73—42no—
747C2×Dic73—81no—
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755D292—21no—
756D292—21no—
757D292—21no—
758D292—21no—
759D292—21no—
760D292—42no—
761D292—81no—
762D292—81no—
763D292C2×#4112yes—
764C4×D73—21no—
765C4×D73—21no—
766C4×D73—42no—
767C4×D73—42no—
768C4×D73—42no—
769C4×D73—42no—
770C4×D73—81no—
771C4×D73—81no—
772C4×D73—81no—
773C4×D73—81no—
774C4×D73—81no—
775C4×D73—81no—
776C4×D73—81no—
777Dic146—21no—
778Dic146—21no—
779Dic146—21no—
780Dic146—21no—
781Dic146—21no—
782Dic146—41no—
783Dic146—42no—
784Dic146—42no—
785Dic146—81no—
786Dic146—81no—
787Dic146C2×#4112yes—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73—21no—
791C8×C73C2×#4112yes—
792#10596831—21no—
793#10596831—21no—
794#10596831—21no—
795#10596831—21no—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—21no—
799C22×C73—21no—
800C22×C73—21no—
801C22×C73—21no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73C23×D411yescharacteristic
806C2×D73—21no—
807C2×D73—21no—
808C2×D73—21no—
809C2×D73—22no—
810C2×D73—41no—
811C2×D73—41no—
812C2×D73—41no—
813C2×D73—41no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—84no—
819C2×D73—162no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—41no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73C22×#4111yescharacteristic
832C4×C73#58511yescharacteristic
833Dic73—21no—
834Dic73—21no—
835Dic73—21no—
836Dic73—21no—
837Dic73—21no—
838Dic73—21no—
839Dic73—22no—
840Dic73—21no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845#61503—731nomaximal, Sylow
846C2×C73—41no—
847C2×C73—41no—
848C2×C73—81no—
849C2×C73D4×#4111yescharacteristic
850C2×C73#358511yescharacteristic
851C2×C73#358611yescharacteristic
852D73—41no—
853D73—42no—
854D73—81no—
855D73—81no—
856#3518—731no—
857#3513—731no—
858#3401—731no—
859#3385—731no—
860#3376—731no—
861#3375—731no—
862#3353D7311yescharacteristic, complemented
863#3349—731no—
864#3347—731no—
865#3327—731no—
866#3324—731no—
867#3320—731no—
868#3319—731no—
869#3311—731no—
870#3308—731no—
871#3275—731no—
872#3266—731no—
873#3265—731no—
874#3179—731no—
875#3175—731no—
876#3172—731no—
877#3126—731no—
878#3124—731no—
879#3121—731no—
880#3118—731no—
881#3111—731no—
882#3110—731no—
883#2967—731no—
884#2949—731no—
885#2947—731no—
886C4×AGL(1,ℤ/8)—731no—
887C73#6150311yescharacteristic, complemented, Sylow
888C2×#137—731no—
889C2×AGL(1,ℤ/8)—731no—
890C22×SD16—731no—
891#559—731no—
892Q82—731no—
893#556—731no—
894#556—731no—
895#556—1461no—
896#556—1461no—
897#556—1461no—
898#556C2×D7311yescharacteristic, complemented
899#555—731no—
900#555—1461no—
901#554—731no—
902#553—731no—
903#553—1461no—
904#552—731no—
905#551—1461no—
906#551—1461no—
907D4×Q8—731no—
908#548—731no—
909#548—731no—
910#547C2×D7311yescharacteristic
911#546—731no—
912#546—731no—
913#546—1461no—
914D42—731no—
915#542—731no—
916#542—731no—
917#542—731no—
918#542—1461no—
919#542—1461no—
920#540—731no—
921#539—1461no—
922#538—1461no—
923#533—731no—
924#533—1461no—
925#529—731no—
926#529—731no—
927#529—1461no—
928#525—1461no—
929C2×#123—1461no—
930#520—731no—
931#519—731no—
932#519—731no—
933#518—731no—
934C4×#41—731no—
935C2×C4×D4—731no—
936#501—731no—
937#501—731no—
938#500C2×D7311yescharacteristic, complemented
939#497—731no—
940#496—731no—
941#495—731no—
942#491—731no—
943#489—731no—
944#489—731no—
945#489—731no—
946#488—731no—
947#486—731no—
948#485—731no—
949#485—731no—
950#485—731no—
951#484—731no—
952#484C2×D7311yescharacteristic, complemented
953#484C2×D7311yescharacteristic, complemented
954#482—731no—
955#482—731no—
956#482—731no—
957#482C2×D7311yescharacteristic
958#482C2×D7311yescharacteristic, complemented
959#480—731no—
960#479—731no—
961#479—731no—
962#479—731no—
963#478—731no—
964#477—731no—
965#477—731no—
966#476—731no—
967#475C2×D7311yescharacteristic, complemented
968#474—731no—
969#474—731no—
970#474—731no—
971#474C2×D7311yescharacteristic, complemented
972#470—731no—
973#470—731no—
974#469—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#468C2×D7311yescharacteristic
979#468C2×D7311yescharacteristic, complemented
980#467—731no—
981#466—731no—
982#466—731no—
983#465—731no—
984#464—731no—
985#464—731no—
986#464—731no—
987#464—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#463—731no—
992#461—731no—
993#461—731no—
994#460—731no—
995#460—731no—
996#452—731no—
997#452—731no—
998#451—731no—
999#450—731no—
1000#450—731no—
1001#450—731no—
1002#449—731no—
1003#449—731no—
1004#448—731no—
1005#448—731no—
1006#448—731no—
1007#447—731no—
1008#446—731no—
1009#446—731no—
1010#442—731no—
1011#442—731no—
1012#442—731no—
1013#441—731no—
1014#441—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025#440—731no—
1026C4×Q16—731no—
1027C4×Q16—731no—
1028C4×Q16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16—731no—
1035C4×SD16C2×D7311yescharacteristic, complemented
1036C4×D8—731no—
1037C4×D8—731no—
1038#436—731no—
1039#436C2×D7311yescharacteristic, complemented
1040#435—731no—
1041#435—731no—
1042#435—731no—
1043#435—731no—
1044#433—731no—
1045#433—731no—
1046#432—731no—
1047#428C2×D7311yescharacteristic, complemented
1048#428C2×D7311yescharacteristic, complemented
1049#427—731no—
1050#419—731no—
1051#418—731no—
1052#418—731no—
1053#417—731no—
1054#416—731no—
1055C2×#103—731no—
1056#405—731no—
1057#405—731no—
1058C4×M16—731no—
1059C2×#41—21no—
1060C2×#41—731no—
1061C2×#41—731no—
1062C22×Q8—731no—
1063C22×Q8—731no—
1064C22×D4—731no—
1065C22×D4—731no—
1066C22×D4—1461no—
1067C23×C4—1461no—
1068#137—1464no—
1069AGL(1,ℤ/8)—1464no—
1070C2×Q16—731no—
1071C2×Q16—731no—
1072C2×Q16—731no—
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16—731no—
1076C2×SD16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—731no—
1082C2×SD16—1464no—
1083C2×SD16C22×D7311yescharacteristic
1084C2×D8—731no—
1085C2×D8—731no—
1086C2×D8—731no—
1087C2×M16—731no—
1088C2×M16—731no—
1089C2×M16C22×D7311yescharacteristic
1090C2×M16C22×D7311yescharacteristic
1091C22×C8—731no—
1092C22×C8—731no—
1093C4⋊Q8—731no—
1094C4⋊Q8—731no—
1095C4⋊Q8—731no—
1096C4⋊Q8—1461no—
1097C4⋊Q8—1461no—
1098C4⋊Q8—1461no—
1099C4⋊Q8—1461no—
1100C4⋊Q8C22×D7311yescharacteristic
1101C4⋊Q8C22×D7311yescharacteristic
1102#127—731no—
1103#126—21no—
1104#126—21no—
1105#126—731no—
1106#126—731no—
1107#126—1461no—
1108#126—1461no—
1109#126—1461no—
1110#126—1461no—
1111#126—1461no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#126—1461no—
1116#126—1461no—
1117#125—731no—
1118#125—731no—
1119#125—731no—
1120#125—1461no—
1121#125—1461no—
1122#124—21no—
1123#124—731no—
1124#124—731no—
1125#124—731no—
1126#124—731no—
1127#124—731no—
1128#124—1461no—
1129#124—1461no—
1130#124—1461no—
1131#124—1461no—
1132#124—1461no—
1133#124—1461no—
1134#124—1461no—
1135#124—1461no—
1136#124—1461no—
1137#123—21no—
1138#123—21no—
1139#123—731no—
1140#123—731no—
1141#123—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153C22⋊Q8—21no—
1154C22⋊Q8—731no—
1155C22⋊Q8—731no—
1156C22⋊Q8—731no—
1157C22⋊Q8—731no—
1158C22⋊Q8—731no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8C22×D7311yescharacteristic
1172C22⋊Q8C22×D7311yescharacteristic
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—1461no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121C22×D7311yescharacteristic
1188#121C22×D7311yescharacteristic
1189#120—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193C4×Q8—21no—
1194C4×Q8—731no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—731no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8—1461no—
1209C4×Q8—1461no—
1210C4×Q8—1461no—
1211C4×Q8C22×D7311yescharacteristic
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—731no—
1240#117—731no—
1241#117—731no—
1242#117—731no—
1243#117—1461no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249#117—1461no—
1250#117—1461no—
1251#117—1461no—
1252#117—1461no—
1253#117—1461no—
1254#117C22×D7311yescharacteristic
1255#117C22×D7311yescharacteristic
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4—1461no—
1258C2×C4⋊C4C22×D7311yescharacteristic
1259C2×C4⋊C4C22×D7311yescharacteristic
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C22⋊C4—1461no—
1263C2×C22⋊C4—1461no—
1264C2×C22⋊C4—1461no—
1265C2×C42—731no—
1266C2×C42—1461no—
1267#107—731no—
1268#107—731no—
1269#107—731no—
1270#107—731no—
1271#107C22×D7311yescharacteristic
1272#107C22×D7311yescharacteristic
1273#107C22×D7311yescharacteristic
1274#107C22×D7311yescharacteristic
1275#107C22×D7311yescharacteristic
1276#107C22×D7311yescharacteristic
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106C22×D7311yescharacteristic
1281#106C22×D7311yescharacteristic
1282#106C22×D7311yescharacteristic
1283C4⋊C8—731no—
1284C4⋊C8—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8C22×D7311yescharacteristic
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102C22×D7311yescharacteristic
1319#102C22×D7311yescharacteristic
1320#102C22×D7311yescharacteristic
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8C22×D7311yescharacteristic
1326C22⋊C8C22×D7311yescharacteristic
1327#97—731no—
1328#97—731no—
1329#97—731no—
1330#97—731no—
1331#97—731no—
1332#97—731no—
1333C4×C8—731no—
1334C4×C8—731no—
1335C4×C8—731no—
1336C4×C8C22×D7311yescharacteristic
1337C24—1461no—
1338C24—1461no—
1339#41—82no—
1340#41—2921no—
1341#41—2921no—
1342#41—1462no—
1343#41—1462no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—2921no—
1347C2×Q8—2921no—
1348C2×Q8—731no—
1349C2×Q8—731no—
1350C2×Q8—731no—
1351C2×Q8—731no—
1352C2×Q8—1462no—
1353C2×Q8—1461no—
1354C2×Q8—1461no—
1355C2×Q8—1461no—
1356C2×Q8—1462no—
1357C2×Q8—1461no—
1358C2×Q8C23×D7311yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—2921no—
1362C2×D4—2921no—
1363C2×D4—5842no—
1364C2×D4—731no—
1365C2×D4—731no—
1366C2×D4—731no—
1367C2×D4—731no—
1368C2×D4—731no—
1369C2×D4—1462no—
1370C2×D4—1461no—
1371C2×D4—1461no—
1372C2×D4—1461no—
1373C2×D4—1461no—
1374C2×D4—1461no—
1375C2×D4—1462no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4—1461no—
1379C2×D4—1461no—
1380C2×D4—1461no—
1381C2×D4D4×D7311yescharacteristic
1382C2×D4C23×D7311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—5842no—
1387C22×C4—731no—
1388C22×C4—731no—
1389C22×C4—731no—
1390C22×C4—1461no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4C23×D7311yescharacteristic
1404C22×C4C23×D7311yescharacteristic
1405Q16—2921no—
1406Q16—1462no—
1407Q16—1462no—
1408SD16—22no—
1409SD16—2921no—
1410SD16—2921no—
1411SD16—2921no—
1412SD16—2921no—
1413SD16—734no—
1414SD16—1462no—
1415SD16—1462no—
1416SD16—1462no—
1417SD16—1462no—
1418D8—2921no—
1419D8—1462no—
1420D8—1462no—
1421M16—22no—
1422M16—22no—
1423M16—2921no—
1424M16—2921no—
1425C2×C8—2921no—
1426C2×C8—731no—
1427C2×C8—731no—
1428C2×C8—731no—
1429C2×C8—731no—
1430C2×C8—1462no—
1431C2×C8C23×D7311yescharacteristic
1432C2×C8C23×D7311yescharacteristic
1433C2×C8C23×D7311yescharacteristic
1434C2×C8C23×D7311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—731no—
1443C4⋊C4—731no—
1444C4⋊C4—731no—
1445C4⋊C4—731no—
1446C4⋊C4—731no—
1447C4⋊C4—731no—
1448C4⋊C4—731no—
1449C4⋊C4—731no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4D4×D7311yescharacteristic
1475C4⋊C4C23×D7311yescharacteristic
1476C4⋊C4C23×D7311yescharacteristic
1477C4⋊C4C23×D7311yescharacteristic
1478C4⋊C4C23×D7311yescharacteristic
1479C4⋊C4C23×D7311yescharacteristic
1480C4⋊C4C23×D7311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—731no—
1489C22⋊C4—731no—
1490C22⋊C4—731no—
1491C22⋊C4—731no—
1492C22⋊C4—731no—
1493C22⋊C4—731no—
1494C22⋊C4—731no—
1495C22⋊C4—731no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4D4×D7311yescharacteristic
1524C22⋊C4D4×D7311yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—731no—
1529C42—731no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—1461no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42—1461no—
1544C42C23×D7311yescharacteristic
1545C23—21no—
1546C23—2922no—
1547C23—2922no—
1548C23—2922no—
1549C23—5841no—
1550C23—5841no—
1551C23—5841no—
1552C23—731no—
1553C23—1461no—
1554C23—1461no—
1555C23—1461no—
1556C23C2×D4×D7311yescharacteristic
1557C23C2×D4×D7311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—81no—
1561Q8—81no—
1562Q8—2922no—
1563Q8—2921no—
1564Q8—2922no—
1565Q8—5841no—
1566Q8—5841no—
1567Q8—732no—
1568Q8—1461no—
1569Q8—1461no—
1570Q8—1461no—
1571Q8—1461no—
1572Q8—1461no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—42no—
1577D4—81no—
1578D4—2922no—
1579D4—2922no—
1580D4—2922no—
1581D4—2921no—
1582D4—2921no—
1583D4—2922no—
1584D4—5841no—
1585D4—5841no—
1586D4—5841no—
1587D4—5841no—
1588D4—5841no—
1589D4—5841no—
1590D4—732no—
1591D4—1461no—
1592D4—1461no—
1593D4—1461no—
1594D4—1461no—
1595D4—1461no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—42no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—2922no—
1611C2×C4—2922no—
1612C2×C4—2922no—
1613C2×C4—2922no—
1614C2×C4—2922no—
1615C2×C4—2921no—
1616C2×C4—2921no—
1617C2×C4—5841no—
1618C2×C4—5841no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—5841no—
1623C2×C4—5841no—
1624C2×C4—5841no—
1625C2×C4—731no—
1626C2×C4—731no—
1627C2×C4—731no—
1628C2×C4—731no—
1629C2×C4—731no—
1630C2×C4—731no—
1631C2×C4—731no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4—1461no—
1639C2×C4C2×D4×D7311yescharacteristic
1640C2×C4C2×D4×D7311yescharacteristic
1641C2×C4C2×D4×D7311yescharacteristic
1642C2×C4C2×D4×D7311yescharacteristic
1643C2×C4C24×D7311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—1461no—
1648C8—1461no—
1649C8—1461no—
1650C8—1461no—
1651C8#41×D7312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—2921no—
1662C22—2921no—
1663C22—2921no—
1664C22—2921no—
1665C22—2921no—
1666C22—2921no—
1667C22—2921no—
1668C22—2921no—
1669C22—5844no—
1670C22—11682no—
1671C22—1461no—
1672C22—1462no—
1673C22—1461no—
1674C22—1461no—
1675C22C22×D4×D7311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—2921no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—1462no—
1692C4—1461no—
1693C4—1461no—
1694C4—1461no—
1695C4—1461no—
1696C4—1461no—
1697C4—1461no—
1698C4—1461no—
1699C4C2×#41×D7311yescharacteristic
1700C4#1798942411yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—2922no—
1705C2—2921no—
1706C2—5841no—
1707C2—5841no—
1708C2#2262341811yescharacteristic
1709C2#2262470711yescharacteristic
1710C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3353C2
socleC22×C73C23×D4
hypercenter#3353D73
hypocenterC73#61503
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3353

Complements

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

NH ≅ G/Ntype
1. #22623941C2semidirect
2. #22623866C2semidirect
3. #22622993C2semidirect
4. #22622846C2semidirect
5. #22622765C2semidirect
6. #22622748C2semidirect
7. #22622462C2semidirect
8. #22622432C2semidirect
9. #22622202C2semidirect
10. #22622160C2semidirect
11. #22622100C2semidirect
12. #22622085C2semidirect
13. #22621961C2semidirect
14. #22621916C2semidirect
15. #22621567C2semidirect
16. #22621448C2semidirect
17. #22621433C2semidirect
18. #22620607C2semidirect
19. #22620573C2semidirect
20. #22620530C2semidirect
21. #22620218C2semidirect
22. #22620196C2semidirect
23. #22620167C2semidirect
24. #22620122C2semidirect
25. #22620035C2semidirect
26. #22620027C2semidirect
27. #22618917C2semidirect
28. #22618785C2semidirect
29. #22618772C2semidirect
30. #22618738C2semidirect
31. C73×#3353C2semidirect
36. #17989317C22semidirect
38. #17989309C22semidirect
42. #17989300C22semidirect
50. #17989250C22semidirect
52. #17989246C22semidirect
58. #17989211C22semidirect
59. #17989210C22semidirect
66. #17989139C22semidirect
73. #17989064C22semidirect
74. #17989063C22semidirect
76. #17989055C22semidirect
78. #17988995C22semidirect
79. #17988995C22semidirect
80. #17988978C22semidirect
82. #17988971C22semidirect
83. #17988954C22semidirect
84. #17988949C22semidirect
85. #17988949C22semidirect
86. #17988945C22semidirect
87. #17988943C22semidirect
89. #17988931C22semidirect
90. #17988930C22semidirect
91. #17988928C22semidirect
92. #17988922C22semidirect
93. #17988914C22semidirect
95. #17988911C22semidirect
96. #17988900C22semidirect
97. #17988897C22semidirect
98. #17988893C22semidirect
99. #17988893C22semidirect
100. #17988886C22semidirect
101. #17988881C22semidirect
102. #17988879C22semidirect
106. #17988866C22semidirect
107. #17988845C22semidirect
108. #17988843C22semidirect
109. #17988840C22semidirect
111. #17988834C22semidirect
113. #17988829C22semidirect
115. #17988821C22semidirect
116. #17988818C22semidirect
117. #17988812C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
120. #17988808C22semidirect
123. #17988802C22semidirect
124. #17988801C22semidirect
126. #17988791C22semidirect
129. #17988751C22semidirect
131. #17988744C22semidirect
137. #17988728C22semidirect
139. #17988725C22semidirect
141. #17988717C22semidirect
142. #17988716C22semidirect
144. #17988698C22semidirect
145. #17988696C22semidirect
146. #17988693C22semidirect
147. #17988693C22semidirect
149. #17988690C22semidirect
150. #17988687C22semidirect
154. #17988686C22semidirect
155. #17988686C22semidirect
156. #17988686C22semidirect
158. #17988684C22semidirect
159. #17988681C22semidirect
160. #17988681C22semidirect
161. #17988679C22semidirect
162. #17988678C22semidirect
164. SD16×Dic73C22semidirect
167. #17988674C22semidirect
169. #17988669C22semidirect
171. #17988659C22semidirect
173. #17988656C22semidirect
174. #17988655C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988622C22semidirect
179. #17988594C22semidirect
182. #17988586C22semidirect
184. C2×#14556514C22semidirect
185. #17988545C22semidirect
186. #17988541C22semidirect
187. M16×Dic73C22semidirect
188. #556×C73C22semidirect
190. #500×C73C22semidirect
191. #484×C73C22semidirect
192. #484×C73C22semidirect
194. #482×C73C22semidirect
195. #475×C73C22semidirect
196. #474×C73C22semidirect
198. #468×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. #436×C73C22semidirect
201. #428×C73C22semidirect
202. #428×C73C22semidirect
543. #11924017#41semidirect
862. #3353D73semidirect
887. C73#61503semidirect
898. #556C2×D73semidirect
938. #500C2×D73semidirect
952. #484C2×D73semidirect
953. #484C2×D73semidirect
958. #482C2×D73semidirect
967. #475C2×D73semidirect
971. #474C2×D73semidirect
979. #468C2×D73semidirect
1035. C4×SD16C2×D73semidirect
1039. #436C2×D73semidirect
1047. #428C2×D73semidirect
1048. #428C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239412
#226238662
#226229932
#226228462
#226227652
#226227482
#226224622
#226224322
#226222022
#226221602
#226221002
#226220852
#226219612
#226219162
#226215672
#226214482
#226214332
#226206072
#226205732
#226205302
#226202182
#226201962
#226201672
#226201222
#226200352
#226200272
#226189172
#226187852
#226187722
#226187382
C73×#33532
#6150373