Finite Group Databasebeta

← #33968850

Subgroups — #33968850

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623933C211yesmaximal, characteristic, complemented
2#22623882C211yesmaximal, characteristic, complemented
3#22622976C211yesmaximal, characteristic, complemented
4#22622847C211yesmaximal, characteristic, complemented
5#22622630C211yesmaximal, characteristic, complemented
6#22622561C211yesmaximal, characteristic, complemented
7#22622513C211yesmaximal, characteristic, complemented
8#22622428C211yesmaximal, characteristic, complemented
9#22622424C211yesmaximal, characteristic, complemented
10#22621884C211yesmaximal, characteristic, complemented
11#22621879C211yesmaximal, characteristic, complemented
12#22621868C211yesmaximal, characteristic, complemented
13#22621785C211yesmaximal, characteristic, complemented
14#22621778C211yesmaximal, characteristic, complemented
15#22621737C211yesmaximal, characteristic, complemented
16#22621549C211yesmaximal, characteristic, complemented
17#22621477C211yesmaximal, characteristic, complemented
18#22621469C211yesmaximal, characteristic, complemented
19#22620620C211yesmaximal, characteristic, complemented
20#22620616C211yesmaximal, characteristic, complemented
21#22620507C211yesmaximal, characteristic, complemented
22#22620195C211yesmaximal, characteristic, complemented
23#22620189C211yesmaximal, characteristic, complemented
24#22620171C211yesmaximal, characteristic, complemented
25#22620078C211yesmaximal, characteristic, complemented
26#22620078C211yesmaximal, characteristic, complemented
27#22618904C211yesmaximal, characteristic, complemented
28#22618763C211yesmaximal, characteristic, complemented
29#22618760C211yesmaximal, characteristic, complemented
30C4×#14556610C211yesmaximal, characteristic, complemented
31C73×#3122C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C2×#14556610C2211yescharacteristic
35#17989320C2211yescharacteristic
36#17989314C2211yescharacteristic, complemented
37#17989305C2211yescharacteristic
38#17989302C2211yescharacteristic
39#17989300C2211yescharacteristic
40#17989290C2211yescharacteristic, complemented
41#17989289C2211yescharacteristic, complemented
42#17989282—21no—
43#17989280—21no—
44#17989266—21no—
45#17989263—21no—
46#17989257C2211yescharacteristic, complemented
47#17989257C2211yescharacteristic, complemented
48#17989255—21no—
49#17989255C2211yescharacteristic
50#17989255C2211yescharacteristic, complemented
51D4×Dic146C2211yescharacteristic
52#17989246—21no—
53#17989237C2211yescharacteristic
54#17989235—21no—
55#17989232C2211yescharacteristic
56#17989231C2211yescharacteristic
57#17989227—21no—
58D4×C22⋊D73C2211yescharacteristic
59#17989208C2211yescharacteristic
60#17989202C2211yescharacteristic
61#17989189—21no—
62#17989188C2211yescharacteristic, complemented
63#17989187—21no—
64#17989175—21no—
65#17989170—21no—
66#17989134C2211yescharacteristic
67#17989134C2211yescharacteristic, complemented
68#17989132—21no—
69#17989117—21no—
70#17989115C2211yescharacteristic
71#17989114—21no—
72C2×#14556577—21no—
73#17989067C2211yescharacteristic, complemented
74#17989066C2211yescharacteristic, complemented
75#17989059C2211yescharacteristic
76C4×#11924027C2211yescharacteristic
77C4×#11924027C2211yescharacteristic, complemented
78#17988997C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic
84#17988944C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988933C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic
88#17988932C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988923C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988901C2211yescharacteristic
99#17988899C2211yescharacteristic
100#17988890C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic
102#17988883C2211yescharacteristic, complemented
103#17988881C2211yescharacteristic, complemented
104#17988871C2211yescharacteristic, complemented
105#17988871C2211yescharacteristic, complemented
106#17988868C2211yescharacteristic, complemented
107#17988865C2211yescharacteristic
108#17988865C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988839C2211yescharacteristic
111#17988838C2211yescharacteristic
112#17988832C2211yescharacteristic, complemented
113#17988831C2211yescharacteristic, complemented
114#17988824C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic, complemented
117#17988821C2211yescharacteristic
118#17988820C2211yescharacteristic
119#17988820C2211yescharacteristic, complemented
120#17988817C2211yescharacteristic, complemented
121#17988814C2211yescharacteristic, complemented
122#17988810C2211yescharacteristic, complemented
123#17988808C2211yescharacteristic, complemented
124#17988803C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic
127#17988786C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988780C2211yescharacteristic
130#17988780C2211yescharacteristic
131#17988780C2211yescharacteristic
132#17988751C2211yescharacteristic, complemented
133#17988750C2211yescharacteristic, complemented
134#17988734C2211yescharacteristic
135#17988733C2211yescharacteristic
136#17988733C2211yescharacteristic, complemented
137#17988729C2211yescharacteristic
138#17988729C2211yescharacteristic
139#17988729C2211yescharacteristic, complemented
140#17988722C2211yescharacteristic
141#17988719C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988711C2211yescharacteristic, complemented
144#17988697C2211yescharacteristic
145#17988697C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic, complemented
147#17988696C2211yescharacteristic, complemented
148#17988689C2211yescharacteristic, complemented
149#17988689C2211yescharacteristic, complemented
150#17988687C2211yescharacteristic
151#17988687C2211yescharacteristic, complemented
152#17988687C2211yescharacteristic, complemented
153#17988684C2211yescharacteristic
154C4×Dic292C2211yescharacteristic, complemented
155#17988681C2211yescharacteristic, complemented
156#17988678C2211yescharacteristic
157#17988678C2211yescharacteristic, complemented
158#17988674C2211yescharacteristic, complemented
159C4×#11924016C2211yescharacteristic
160C4×#11924016C2211yescharacteristic, complemented
161C4×#11924016C2211yescharacteristic, complemented
162C4×D584C2211yescharacteristic, complemented
163D8×Dic73C2211yescharacteristic
164D8×Dic73C2211yescharacteristic
165C4×#11924013C2211yescharacteristic
166C4×#11924013C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic, complemented
168#17988662C2211yescharacteristic
169#17988661C2211yescharacteristic, complemented
170#17988657C2211yescharacteristic, complemented
171#17988652C2211yescharacteristic, complemented
172#17988650C2211yescharacteristic
173#17988650C2211yescharacteristic, complemented
174#17988646C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988630C2211yescharacteristic, complemented
177#17988626C2211yescharacteristic, complemented
178#17988624C2211yescharacteristic, complemented
179#17988581C2211yescharacteristic, complemented
180#17988580C2211yescharacteristic
181#17988580C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183C2×#14556512C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988544C2211yescharacteristic, complemented
186#17988543C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#540×C73C2211yescharacteristic, complemented
189#518×C73C2211yescharacteristic
190#482×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic, complemented
194#459×C73C2211yescharacteristic
195#459×C73C2211yescharacteristic, complemented
196#447×C73C2211yescharacteristic
197#447×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic
199#442×C73C2211yescharacteristic, complemented
200C4×D8×C73C2211yescharacteristic
201C4×D8×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027C2311yescharacteristic
209C2×#11924027C2311yescharacteristic
210C2×#11924027C2311yescharacteristic
211C22×Dic146—21no—
212C22×C22⋊D73—21no—
213C2×D4×D73C2311yescharacteristic
214#14556617—24no—
215#14556615—24no—
216#14556610—24no—
217C2×Dic292C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235#14556591C2311yescharacteristic
236#14556590—21no—
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556587—21no—
241#14556587—21no—
242#14556587—21no—
243#14556587C2311yescharacteristic
244#14556587C2311yescharacteristic
245#14556587C2311yescharacteristic
246#14556586—21no—
247#14556586—21no—
248#14556586D411yescharacteristic
249#14556585—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584D411yescharacteristic
254#14556582C2311yescharacteristic
255#14556581—21no—
256#14556581—21no—
257#14556581D411yescharacteristic
258#14556579—21no—
259#14556579C2311yescharacteristic
260#14556578C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556577D411yescharacteristic
271#14556576—21no—
272#14556576D411yescharacteristic
273#14556575—21no—
274#14556575—21no—
275#14556574—21no—
276#14556574—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573D411yescharacteristic
283#14556572—21no—
284#14556572—21no—
285#14556571C2311yescharacteristic
286#14556570—21no—
287#14556570—21no—
288#14556570C2311yescharacteristic
289#14556569—21no—
290#14556569D411yescharacteristic
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556566—21no—
295#14556566C2311yescharacteristic
296#14556566C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556565—21no—
299#14556565—21no—
300#14556565—21no—
301#14556565C2311yescharacteristic
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564D411yescharacteristic
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556562—21no—
319#14556562C2311yescharacteristic
320#14556562C2311yescharacteristic
321#14556562C2311yescharacteristic
322#14556562C2311yescharacteristic
323#14556561—21no—
324#14556560—21no—
325#14556560—21no—
326#14556559—21no—
327C4×Dic146—21no—
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332#14556556—21no—
333#14556556C2311yescharacteristic
334#14556556C2311yescharacteristic
335#14556556C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340D4×Dic73—21no—
341D4×Dic73—21no—
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346#14556553—21no—
347#14556553C2311yescharacteristic
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73C2311yescharacteristic
356C4×C22⋊D73C2311yescharacteristic
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556550—21no—
366#14556549—21no—
367#14556549C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556549C2311yescharacteristic
370#14556548—21no—
371#14556548C2311yescharacteristic
372#14556547—21no—
373#14556547—21no—
374#14556547—21no—
375C2×C4⋊Dic73C2311yescharacteristic
376C2×#11924007—21no—
377C4⋊C4×D73—21no—
378C4⋊C4×D73C2311yescharacteristic
379C2×C22⋊Dic73—21no—
380C2×#11924005—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73—21no—
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C2×D8×C73C2311yescharacteristic
440C2×D8×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443#127×C73C2311yescharacteristic
444#125×C73C2311yescharacteristic
445#123×C73—21no—
446#123×C73—21no—
447#121×C73—21no—
448#121×C73—21no—
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460#117×C73C2311yescharacteristic
461C2×C22⋊C4×C73—21no—
462C2×C22⋊C4×C73—21no—
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—22no—
483#11924028—41no—
484#11924028—82no—
485#11924028—82no—
486#11924027—22no—
487#11924027—22no—
488#11924027—22no—
489#11924027—41no—
490#11924027—41no—
491#11924027—41no—
492#11924027—82no—
493#11924027—82no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—82no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292C2×D411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
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⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—82no—
525C2×C22⋊D73C2×D411yescharacteristic
526C2×C22⋊D73C2×D411yescharacteristic
527D4×D73—22no—
528D4×D73—41no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546C2×C4×D73C2411yescharacteristic
547Dic292—22no—
548#11924017—22no—
549#11924017—41no—
550#11924016—22no—
551#11924016—22no—
552#11924016—41no—
553#11924016#4114yescomplemented
554D584—41no—
555#11924013—22no—
556#11924013—22no—
557#11924013—22no—
558#11924013—41no—
559#11924012—22no—
560#11924011—22no—
561C2×#10596831—41no—
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C8×D73—22no—
567C8×D73—41no—
568C8×D73—41no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73C2×D411yescharacteristic
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
623#11924005—21no—
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C24×C73—21no—
644C2×D4×C73—22no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—41no—
651C2×D4×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661C22×C4×C73C2411yescharacteristic
662D8×C73—22no—
663D8×C73—22no—
664D8×C73—41no—
665D8×C73—41no—
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2×D411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C42×C73—21no—
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—21no—
696C23×C73—42no—
697C23×C73—81no—
698C23×C73—81no—
699C23×C73C22×D411yescharacteristic
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—42no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73C22×D411yescharacteristic
706C22×D73C22×D411yescharacteristic
707D4×C73—21no—
708D4×C73—21no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—42no—
715D4×C73—81no—
716D4×C73—81no—
717D4×C73—81no—
718D4×C73—81no—
719D4×C73C2×#4112yes—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—81no—
727C2×C4×C73—81no—
728C2×C4×C73—81no—
729C2×C4×C73—81no—
730C2×C4×C73—81no—
731C2×C4×C73—81no—
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C2511yescharacteristic
738C22⋊D73—22no—
739C22⋊D73—41no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—42no—
763C2×Dic73—42no—
764C2×Dic73—42no—
765C2×Dic73—42no—
766C2×Dic73—42no—
767C2×Dic73—81no—
768C2×Dic73—81no—
769C2×Dic73—81no—
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776D292—21no—
777D292—21no—
778D292—21no—
779D292—21no—
780D292—41no—
781D292—81no—
782D292—81no—
783D292—81no—
784C4×D73—21no—
785C4×D73—21no—
786C4×D73—21no—
787C4×D73—21no—
788C4×D73—22no—
789C4×D73—41no—
790C4×D73—42no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796Dic146—21no—
797Dic146—22no—
798Dic146—21no—
799Dic146—21no—
800Dic146—42no—
801Dic146—42no—
802Dic146—81no—
803Dic146—81no—
804Dic146C2×#4112yes—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73—21no—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831C2×#4112yes—
813C22×C73—21no—
814C22×C73—22no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—162no—
829C22×C73C23×D411yescharacteristic
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—162no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73C22×#4111yescharacteristic
853C4×C73#58511yescharacteristic
854Dic73—21no—
855Dic73—21no—
856Dic73—22no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73#57612yes—
866#61494—731nomaximal, Sylow
867C2×C73—42no—
868C2×C73—41no—
869C2×C73—81no—
870C2×C73—81no—
871C2×C73—81no—
872C2×C73D4×#4111yescharacteristic
873C2×C73C2×#57611yescharacteristic
874C2×C73#358411yescharacteristic
875D73—41no—
876D73—41no—
877D73—81no—
878D73—81no—
879#3517—731no—
880#3514—731no—
881#3399—731no—
882#3386—731no—
883#3365—731no—
884#3358—731no—
885#3353—731no—
886#3347—731no—
887#3347—731no—
888#3305—731no—
889#3305—731no—
890#3304—731no—
891#3297—731no—
892#3297—731no—
893#3294—731no—
894#3274—731no—
895#3268—731no—
896#3268—731no—
897#3179—731no—
898#3179—731no—
899#3169—731no—
900#3124—731no—
901#3124—731no—
902#3122—731no—
903#3122D7311yescharacteristic, complemented
904#3115—731no—
905#3115—731no—
906#2966—731no—
907#2946—731no—
908#2946—731no—
909C4×#135—731no—
910C73#6149411yescharacteristic, complemented, Sylow
911C2×AGL(1,ℤ/8)—731no—
912C2×AGL(1,ℤ/8)—731no—
913C2×#135—731no—
914#559—731no—
915#557—731no—
916#556—731no—
917#555—731no—
918#555—731no—
919#553—731no—
920#553—731no—
921#553—1461no—
922#553—1461no—
923#551—1461no—
924#551—1461no—
925#550—731no—
926#550—731no—
927#550—731no—
928#550—731no—
929#550—1461no—
930D4×Q8—731no—
931#548—1461no—
932#547—731no—
933#547—1461no—
934#546—731no—
935#546—731no—
936#546—1461no—
937D42—731no—
938#542—731no—
939#542—731no—
940#540—731no—
941#540—1461no—
942#540—1461no—
943#540C2×D7311yescharacteristic, complemented
944#538—1461no—
945#538—1461no—
946#532—731no—
947#532—731no—
948#532—1461no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952C2×#124—1461no—
953#520—731no—
954#520—731no—
955#518—731no—
956#518C2×D7311yescharacteristic
957C4×#41—731no—
958C4×#41—731no—
959#501—731no—
960#501—731no—
961#500—731no—
962#496—731no—
963#496—731no—
964#493—731no—
965#488—731no—
966#488—731no—
967#486—731no—
968#486—731no—
969#486—731no—
970#486—731no—
971#484—731no—
972#484—731no—
973#482—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482C2×D7311yescharacteristic, complemented
980#482C2×D7311yescharacteristic, complemented
981#480—731no—
982#480—731no—
983#478—731no—
984#478—731no—
985#478C2×D7311yescharacteristic
986#478C2×D7311yescharacteristic, complemented
987#477—731no—
988#477—731no—
989#475—731no—
990#475—731no—
991#474—731no—
992#474—731no—
993#474—731no—
994#474—731no—
995#469—731no—
996#469—731no—
997#468—731no—
998#468—731no—
999#466—731no—
1000#466—731no—
1001#466—731no—
1002#466—731no—
1003#466—731no—
1004#466—731no—
1005#465—731no—
1006#465—731no—
1007#464—731no—
1008#464—731no—
1009#463—731no—
1010#463—731no—
1011#460—731no—
1012#460—731no—
1013#459—731no—
1014#459—731no—
1015#459—731no—
1016#459—731no—
1017#459C2×D7311yescharacteristic
1018#459C2×D7311yescharacteristic, complemented
1019#452—731no—
1020#452—731no—
1021#449—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#449—731no—
1027#447—731no—
1028#447—731no—
1029#447C2×D7311yescharacteristic
1030#447C2×D7311yescharacteristic
1031#446—731no—
1032C8×Q8—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442C2×D7311yescharacteristic
1038#442C2×D7311yescharacteristic, complemented
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045C4×Q16—731no—
1046C4×Q16—731no—
1047C4×SD16—731no—
1048C4×SD16—731no—
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×D8—731no—
1054C4×D8—731no—
1055C4×D8—731no—
1056C4×D8—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8C2×D7311yescharacteristic
1060C4×D8C2×D7311yescharacteristic, complemented
1061#436—731no—
1062#435—731no—
1063#435—731no—
1064C8×D4—731no—
1065C8×D4—731no—
1066C8×D4—731no—
1067#433—731no—
1068#433C2×D7311yescharacteristic, complemented
1069#432—731no—
1070#428—731no—
1071#428—731no—
1072#427—731no—
1073#416—731no—
1074#416—731no—
1075#416—731no—
1076#416—731no—
1077C2×#102—731no—
1078C2×#102—731no—
1079#405—731no—
1080#405—731no—
1081C2×C4×C8—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—731no—
1086C2×#41—1461no—
1087C2×#41—1461no—
1088C2×#41—1461no—
1089C2×#41—1461no—
1090C22×Q8—1461no—
1091C22×D4—731no—
1092C22×D4—1461no—
1093C22×D4C22×D7311yescharacteristic
1094AGL(1,ℤ/8)—1464no—
1095AGL(1,ℤ/8)—1464no—
1096#135—1464no—
1097C2×Q16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×D8—731no—
1105C2×D8—731no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8C22×D7311yescharacteristic
1110C2×D8C22×D7311yescharacteristic
1111C2×D8C22×D7311yescharacteristic
1112C2×D8C22×D7311yescharacteristic
1113C2×M16—731no—
1114C2×M16—731no—
1115C22×C8—731no—
1116C22×C8—731no—
1117C22×C8—731no—
1118C22×C8—731no—
1119C4⋊Q8—731no—
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—731no—
1123C4⋊Q8—1461no—
1124#127—731no—
1125#127—731no—
1126#127—731no—
1127#127—1461no—
1128#127—1461no—
1129#127—1461no—
1130#127C22×D7311yescharacteristic
1131#126—731no—
1132#126—731no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#126—1461no—
1137#126—1461no—
1138#126—1461no—
1139#125—731no—
1140#125—731no—
1141#125—1461no—
1142#125—1461no—
1143#125C22×D7311yescharacteristic
1144#124—731no—
1145#124—731no—
1146#124—731no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#124—1461no—
1157#123—21no—
1158#123—21no—
1159#123—731no—
1160#123—731no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173C22⋊Q8—731no—
1174C22⋊Q8—731no—
1175C22⋊Q8—731no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181C22⋊Q8—1461no—
1182#121—21no—
1183#121—21no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—731no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121C22×D7311yescharacteristic
1214#121C22×D7311yescharacteristic
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219C4×Q8—731no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—1461no—
1227C4×Q8—1461no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4C22×D7311yescharacteristic
1260C4×D4C22×D7311yescharacteristic
1261C4×D4C22×D7311yescharacteristic
1262C4×D4C22×D7311yescharacteristic
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265#117—731no—
1266#117—731no—
1267#117—731no—
1268#117—731no—
1269#117—1461no—
1270#117—1461no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117C22×D7311yescharacteristic
1276#117C22×D7311yescharacteristic
1277C2×C4⋊C4—731no—
1278C2×C4⋊C4—731no—
1279C2×C4⋊C4—1461no—
1280C2×C4⋊C4—1461no—
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C42—731no—
1288C2×C42—1461no—
1289C2×C42—1461no—
1290#107—731no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107C22×D7311yescharacteristic
1299#107C22×D7311yescharacteristic
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106C22×D7311yescharacteristic
1305#106C22×D7311yescharacteristic
1306C4⋊C8—731no—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8C22×D7311yescharacteristic
1311C4⋊C8C22×D7311yescharacteristic
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102C22×D7311yescharacteristic
1337#102C22×D7311yescharacteristic
1338#102C22×D7311yescharacteristic
1339#102C22×D7311yescharacteristic
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344C22⋊C8—731no—
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8C22×D7311yescharacteristic
1349C22⋊C8C22×D7311yescharacteristic
1350#97—731no—
1351#97—731no—
1352#97—731no—
1353#97C22×D7311yescharacteristic
1354C4×C8—731no—
1355C4×C8—731no—
1356C4×C8—731no—
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8C22×D7311yescharacteristic
1360C24—21no—
1361C24—1461no—
1362#41—2921no—
1363#41—2921no—
1364#41—2921no—
1365#41—2921no—
1366#41—5842no—
1367#41—5842no—
1368#41—5842no—
1369#41—5842no—
1370#41—1462no—
1371#41—1462no—
1372#41—1462no—
1373#41—1462no—
1374C2×Q8—5842no—
1375C2×Q8—731no—
1376C2×Q8—731no—
1377C2×Q8—731no—
1378C2×Q8—1461no—
1379C2×Q8—1461no—
1380C2×Q8—1461no—
1381C2×Q8—1461no—
1382C2×D4—22no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—41no—
1389C2×D4—2921no—
1390C2×D4—5842no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—731no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1462no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4C23×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C2×D4C23×D7311yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—731no—
1429C22×C4—731no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4C23×D7311yescharacteristic
1445Q16—1462no—
1446SD16—2921no—
1447SD16—2921no—
1448SD16—734no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—22no—
1453D8—22no—
1454D8—41no—
1455D8—41no—
1456D8—2921no—
1457D8—2921no—
1458D8—1462no—
1459D8—1462no—
1460D8—1462no—
1461M16—1462no—
1462M16—1462no—
1463C2×C8—2921no—
1464C2×C8—2921no—
1465C2×C8—2921no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—731no—
1470C2×C8—1462no—
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4D4×D7311yescharacteristic
1506C4⋊C4D4×D7311yescharacteristic
1507C4⋊C4C23×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4D4×D7311yescharacteristic
1554C22⋊C4D4×D7311yescharacteristic
1555C42—21no—
1556C42—731no—
1557C42—731no—
1558C42—731no—
1559C42—731no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42C23×D7311yescharacteristic
1570C42C23×D7311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—81no—
1577C23—81no—
1578C23—2922no—
1579C23—5841no—
1580C23—5841no—
1581C23—731no—
1582C23—731no—
1583C23—1461no—
1584C23—1461no—
1585C23C2×D4×D7311yescharacteristic
1586Q8—2922no—
1587Q8—2922no—
1588Q8—5841no—
1589Q8—5841no—
1590Q8—732no—
1591Q8—1462no—
1592Q8—1461no—
1593Q8—1461no—
1594Q8—1461no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—42no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—2921no—
1608D4—2922no—
1609D4—2922no—
1610D4—2922no—
1611D4—2922no—
1612D4—2922no—
1613D4—2921no—
1614D4—2922no—
1615D4—2922no—
1616D4—5841no—
1617D4—5841no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—1462no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4#41×D7312yes—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—2922no—
1647C2×C4—2921no—
1648C2×C4—2922no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2922no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—731no—
1662C2×C4—731no—
1663C2×C4—731no—
1664C2×C4—731no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—1462no—
1668C2×C4—1461no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4C2×D4×D7311yescharacteristic
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C24×D7311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—732no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C22—21no—
1693C22—21no—
1694C22—22no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—162no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—11682no—
1715C22—1461no—
1716C22—1461no—
1717C22—1461no—
1718C22—1461no—
1719C22—1461no—
1720C22—1461no—
1721C22C22×D4×D7311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—2921no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—732no—
1737C4—1461no—
1738C4—1461no—
1739C4—1462no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4C2×#41×D7311yescharacteristic
1744C4#1798942311yescharacteristic
1745C2—41no—
1746C2—42no—
1747C2—81no—
1748C2—81no—
1749C2—81no—
1750C2—2921no—
1751C2—2921no—
1752C2—5841no—
1753C2—5841no—
1754C2#2262341411yescharacteristic
1755C2#576×D7311yescharacteristic
1756C2#2262469911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3122C2
socleC22×C73C23×D4
hypercenter#3122D73
hypocenterC73#61494
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3122

Complements

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

NH ≅ G/Ntype
1. #22623933C2semidirect
2. #22623882C2semidirect
3. #22622976C2semidirect
4. #22622847C2semidirect
5. #22622630C2semidirect
6. #22622561C2semidirect
7. #22622513C2semidirect
8. #22622428C2semidirect
9. #22622424C2semidirect
10. #22621884C2semidirect
11. #22621879C2semidirect
12. #22621868C2semidirect
13. #22621785C2semidirect
14. #22621778C2semidirect
15. #22621737C2semidirect
16. #22621549C2semidirect
17. #22621477C2semidirect
18. #22621469C2semidirect
19. #22620620C2semidirect
20. #22620616C2semidirect
21. #22620507C2semidirect
22. #22620195C2semidirect
23. #22620189C2semidirect
24. #22620171C2semidirect
25. #22620078C2semidirect
26. #22620078C2semidirect
27. #22618904C2semidirect
28. #22618763C2semidirect
29. #22618760C2semidirect
30. C4×#14556610C2semidirect
31. C73×#3122C2semidirect
36. #17989314C22semidirect
40. #17989290C22semidirect
41. #17989289C22semidirect
46. #17989257C22semidirect
47. #17989257C22semidirect
50. #17989255C22semidirect
62. #17989188C22semidirect
67. #17989134C22semidirect
73. #17989067C22semidirect
74. #17989066C22semidirect
77. C4×#11924027C22semidirect
78. #17988997C22semidirect
79. #17988994C22semidirect
80. #17988991C22semidirect
81. #17988975C22semidirect
82. #17988974C22semidirect
84. #17988944C22semidirect
85. #17988940C22semidirect
86. #17988933C22semidirect
88. #17988932C22semidirect
89. #17988932C22semidirect
90. #17988924C22semidirect
91. #17988923C22semidirect
92. #17988914C22semidirect
93. #17988913C22semidirect
94. #17988913C22semidirect
95. #17988909C22semidirect
96. #17988909C22semidirect
97. #17988909C22semidirect
100. #17988890C22semidirect
102. #17988883C22semidirect
103. #17988881C22semidirect
104. #17988871C22semidirect
105. #17988871C22semidirect
106. #17988868C22semidirect
108. #17988865C22semidirect
109. #17988865C22semidirect
112. #17988832C22semidirect
113. #17988831C22semidirect
114. #17988824C22semidirect
115. #17988822C22semidirect
116. #17988822C22semidirect
119. #17988820C22semidirect
120. #17988817C22semidirect
121. #17988814C22semidirect
122. #17988810C22semidirect
123. #17988808C22semidirect
124. #17988803C22semidirect
125. #17988800C22semidirect
127. #17988786C22semidirect
128. #17988781C22semidirect
132. #17988751C22semidirect
133. #17988750C22semidirect
136. #17988733C22semidirect
139. #17988729C22semidirect
142. #17988716C22semidirect
143. #17988711C22semidirect
145. #17988697C22semidirect
146. #17988697C22semidirect
147. #17988696C22semidirect
148. #17988689C22semidirect
149. #17988689C22semidirect
151. #17988687C22semidirect
152. #17988687C22semidirect
154. C4×Dic292C22semidirect
155. #17988681C22semidirect
157. #17988678C22semidirect
158. #17988674C22semidirect
160. C4×#11924016C22semidirect
161. C4×#11924016C22semidirect
162. C4×D584C22semidirect
166. C4×#11924013C22semidirect
167. C4×#11924013C22semidirect
169. #17988661C22semidirect
170. #17988657C22semidirect
171. #17988652C22semidirect
173. #17988650C22semidirect
174. #17988646C22semidirect
175. #17988642C22semidirect
176. #17988630C22semidirect
177. #17988626C22semidirect
178. #17988624C22semidirect
179. #17988581C22semidirect
181. #17988580C22semidirect
182. #17988580C22semidirect
185. #17988544C22semidirect
186. #17988543C22semidirect
187. C4×C8×D73C22semidirect
188. #540×C73C22semidirect
190. #482×C73C22semidirect
191. #482×C73C22semidirect
193. #478×C73C22semidirect
195. #459×C73C22semidirect
199. #442×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #433×C73C22semidirect
553. #11924016#41semidirect
903. #3122D73semidirect
910. C73#61494semidirect
943. #540C2×D73semidirect
979. #482C2×D73semidirect
980. #482C2×D73semidirect
986. #478C2×D73semidirect
1018. #459C2×D73semidirect
1038. #442C2×D73semidirect
1060. C4×D8C2×D73semidirect
1068. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239332
#226238822
#226229762
#226228472
#226226302
#226225612
#226225132
#226224282
#226224242
#226218842
#226218792
#226218682
#226217852
#226217782
#226217372
#226215492
#226214772
#226214692
#226206202
#226206162
#226205072
#226201952
#226201892
#226201712
#226200782
#226189042
#226187632
#226187602
C4×#145566102
C73×#31222
#6149473